{"id":10550,"date":"2023-12-14T16:58:21","date_gmt":"2023-12-14T11:28:21","guid":{"rendered":"https:\/\/envisionmathanswerkey.com\/?p=10550"},"modified":"2023-12-15T10:15:48","modified_gmt":"2023-12-15T04:45:48","slug":"envision-math-common-core-grade-4-answer-key-topic-16","status":"publish","type":"post","link":"https:\/\/envisionmathanswerkey.com\/envision-math-common-core-grade-4-answer-key-topic-16\/","title":{"rendered":"enVision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes"},"content":{"rendered":"<p>Go through the\u00a0<strong><a href=\"https:\/\/envisionmathanswerkey.com\/envision-math-common-core-grade-4-answer-key\/\">enVision Math Common Core Grade 4 Answer Key<\/a>\u00a0Topic 16 Lines, Angles, and Shapes<\/strong>\u00a0regularly and improve your accuracy in solving questions.<\/p>\n<h2>enVision Math Common Core 4th Grade Answers Key Topic 16 Lines, Angles, and Shapes<\/h2>\n<p><strong>Essential Questions:<\/strong><br \/>\nHow can you classify triangles and quadrilaterals? What is line symmetry?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10551\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-1.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 1\" width=\"682\" height=\"576\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-1.png 682w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-1-300x253.png 300w\" sizes=\"(max-width: 682px) 100vw, 682px\" \/><\/p>\n<p><strong>enVision STEM Project: Senses and Symmetry<\/strong><br \/>\nDo Research The location of an animal&#8217;s eyes helps it to survive in the wild. Use the Internet or other sources to find why some animals have eyes on the sides of their head and others have eyes on the front.<br \/>\nJournal: Write a Report Include what you found. Also in your report:<\/p>\n<p>Most animals are the same on both sides of their body. Use a line of symmetry to help make a simple drawing of your favorite animal&#8217;s face. Draw both sides of the animal&#8217;s face the same. Explain how you know that both sides of your drawing are the same.<\/p>\n<p><strong>Review What You Know<\/strong><\/p>\n<p><strong>Vocabulary<\/strong><br \/>\nChoose the best term from the box. Write it on the blank.<\/p>\n<ul>\n<li>angle<\/li>\n<li>polygon<\/li>\n<li>quadrilateral<\/li>\n<li>triangle<\/li>\n<\/ul>\n<p>Question 1.<br \/>\nA ___________ is a closed figure made up of straight line segments.<br \/>\nAnswer:<br \/>\nA polygon is a closed figure made up of straight line segments<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-27810\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2022\/03\/Lines-Angles-and-Shapes-1-226x300.jpg\" alt=\"Lines, Angles, and Shapes 1\" width=\"350\" height=\"465\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2022\/03\/Lines-Angles-and-Shapes-1-226x300.jpg 226w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2022\/03\/Lines-Angles-and-Shapes-1.jpg 712w\" sizes=\"(max-width: 350px) 100vw, 350px\" \/><\/p>\n<p>Question 2.<br \/>\nA polygon with three sides is a(n) _________.<br \/>\nAnswer:<br \/>\nA polygon with three sides is a(n) Triangle<\/p>\n<p>Question 3.<br \/>\nA(n) _________ is formed by two rays with the same endpoint.<br \/>\nAnswer:<br \/>\nA(n) Angle is formed by two rays with the same endpoint.<\/p>\n<p>Shapes<\/p>\n<p>Choose the best term to describe each shape. Use each term once.<br \/>\nRectangle<br \/>\nRhombus<br \/>\nTrapezoid<br \/>\nQuestion 4.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10552\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 2\" width=\"80\" height=\"58\" \/><br \/>\nAnswer:<br \/>\nRhombus<br \/>\nExplanation :<br \/>\n2 pairs of parallel sides<br \/>\n4 equal sides<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10553\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-3.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 3\" width=\"72\" height=\"50\" \/><br \/>\nAnswer:<br \/>\nTrapezoid &#8211; only 1 pair of parallel sides<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10554\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-4.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 4\" width=\"65\" height=\"55\" \/><br \/>\nAnswer:<br \/>\nRectangle<br \/>\nExplanation :<br \/>\n2 pairs of parallel sides<br \/>\n4 right angles<\/p>\n<p><strong>Lines<\/strong><\/p>\n<p>Use geometric terms to describe what is shown.<br \/>\nQuestion 7.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10555\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-5.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 5\" width=\"139\" height=\"67\" \/><br \/>\nAnswer:<br \/>\nIt is said as line AB and represented a \\(\\overleftrightarrow{\\mathrm{AB}}\\)<br \/>\nExplanation :<br \/>\nA line is a straight path of points that goes without end in both directions .<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10556\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-6.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 6\" width=\"118\" height=\"64\" \/><br \/>\nAnswer:<br \/>\nIt is called as Ray \\(\\overrightarrow{C D}\\). The symbol of a ray is \u2192<br \/>\nExplanation :<br \/>\nA ray is a part of line that has one end point and goes on without end in one direction .<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10557\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-7.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 7\" width=\"119\" height=\"58\" \/><br \/>\nAnswer:<br \/>\nLine segment &#8211; It is represented as \\(\\overline{E F}\\)<br \/>\nExplanation :<br \/>\nIt is a line segment EF. Line segments are represented by a single overbar with no arrowheads over the letters representing the two endpoints.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-27811\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2022\/03\/Lines-Angles-and-Shapes-2-253x300.jpg\" alt=\"Lines, Angles, and Shapes 2\" width=\"350\" height=\"416\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2022\/03\/Lines-Angles-and-Shapes-2-253x300.jpg 253w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2022\/03\/Lines-Angles-and-Shapes-2.jpg 705w\" sizes=\"(max-width: 350px) 100vw, 350px\" \/><\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 10.<br \/>\nGeneralize Which generalization about these figures is NOT true?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10558\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-8.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 8\" width=\"317\" height=\"104\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-8.png 317w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-8-300x98.png 300w\" sizes=\"(max-width: 317px) 100vw, 317px\" \/><br \/>\nA. Each figure is a quadrilateral.<br \/>\nB. Each figure has two pairs of parallel sides.<br \/>\nC. Each figure has at least two sides of equal length.<br \/>\nD. Each figure has 4 angles.<br \/>\nAnswer:<br \/>\nOption B is not true<br \/>\nExplanation :<br \/>\nFigure 2 that is trapezoid EFGH has only one pair of parallel lines .<\/p>\n<p><strong>Pick a Project<\/strong><\/p>\n<p>PROJECT 16A<br \/>\nHow are dictionaries useful?<br \/>\nProject: Create a Picture Dictionary<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10559\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-9.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 9\" width=\"469\" height=\"391\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-9.png 469w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-9-300x250.png 300w\" sizes=\"(max-width: 469px) 100vw, 469px\" \/><\/p>\n<p>PROJECT 16B<br \/>\nHow can shapes be used in art at the Dali Museum?<br \/>\nProject: Create Cubist Art<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10560\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-10.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 10\" width=\"476\" height=\"448\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-10.png 476w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-10-300x282.png 300w\" sizes=\"(max-width: 476px) 100vw, 476px\" \/><\/p>\n<p>PROJECT 16C<br \/>\nDo snowflakes have lines of symmetry?<br \/>\nProject: Make Snowflakes<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10561\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-11.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 11\" width=\"489\" height=\"491\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-11.png 489w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-11-300x300.png 300w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-11-150x150.png 150w\" sizes=\"(max-width: 489px) 100vw, 489px\" \/><\/p>\n<p>PROJECT 16D<br \/>\nCan animals have symmetry?<br \/>\nProject: Draw a Line-Symmetric Animal<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10562\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-12.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 12\" width=\"481\" height=\"492\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-12.png 481w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-12-293x300.png 293w\" sizes=\"(max-width: 481px) 100vw, 481px\" \/><\/p>\n<h3>Lesson 16-1 Lines<\/h3>\n<p><strong>Solve &amp; Share<\/strong><br \/>\nThe number line below is an example of a line. A line goes on forever in a straight path in two directions. Draw the following pairs of lines: two lines that will never cross, two lines that cross at one point, two lines that cross at two points. If you cannot draw the lines, tell why.<br \/>\nI can &#8230; draw and identify perpendicular, parallel, and intersecting lines.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10563\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-13.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 13\" width=\"434\" height=\"465\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-13.png 434w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-13-280x300.png 280w\" sizes=\"(max-width: 434px) 100vw, 434px\" \/><\/p>\n<p>Look Back! Terry said, \u201cThe lines shown intersect at three points.\u201d Is Terry correct? Explain.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10564\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-14.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 14\" width=\"206\" height=\"157\" \/><br \/>\nAnswer :<br \/>\nNo Terry is not correct .<br \/>\nExplanation :<br \/>\nA line can be defined as a straight one- dimensional figure that has no thickness and extends endlessly in both directions. It is often described as the shortest distance between any two points.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-19669 size-full\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-1-Lines-Solve-Share.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-1-Lines-Solve-&amp;-Share\" width=\"662\" height=\"418\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-1-Lines-Solve-Share.jpg 662w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-1-Lines-Solve-Share-300x189.jpg 300w\" sizes=\"(max-width: 662px) 100vw, 662px\" \/><\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Can You Describe Pairs of Lines?<br \/>\nAnswer :<br \/>\nA pair of lines,\u00a0line segments or rays are intersecting if they have a common point. This common point is their point of intersection.<br \/>\nFor example, two adjacent sides of a sheet of paper, a ruler, a door, a window and letters.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-27813\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2022\/03\/Lines-Angles-and-Shapes-3-300x184.jpg\" alt=\"Lines, Angles, and Shapes 3\" width=\"350\" height=\"215\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2022\/03\/Lines-Angles-and-Shapes-3-300x184.jpg 300w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2022\/03\/Lines-Angles-and-Shapes-3.jpg 727w\" sizes=\"(max-width: 350px) 100vw, 350px\" \/><\/p>\n<p>Visual Learning Bridge<br \/>\nA line is a straight path of points that goes on and on in opposite directions. A pair of lines can be described as parallel, perpendicular, or intersecting.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10565\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-15.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 15\" width=\"679\" height=\"330\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-15.png 679w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-15-300x146.png 300w\" sizes=\"(max-width: 679px) 100vw, 679px\" \/><\/p>\n<p>Pairs of lines are given special names depending on their relationship.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10566\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-16.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 16\" width=\"669\" height=\"254\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-16.png 669w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-16-300x114.png 300w\" sizes=\"(max-width: 669px) 100vw, 669px\" \/><\/p>\n<p><strong>Convince Me!<\/strong><br \/>\nBe Precise Find examples in your classroom where you can identify parallel lines, intersecting lines, and perpendicular lines. Explain.<br \/>\nAnswer :<br \/>\n(i) Intersecting lines &#8211; Edges of my Textbook and Notebook through any corner .<\/p>\n<p>(ii) Parallel lines &#8211; Opposite Edges of my textbook and notebook<\/p>\n<p>(iii) Perpendicular lines &#8211; Adjacent edges of my textbook and black board in my classroom.<\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Do You Understand?<\/strong><br \/>\nQuestion 1.<br \/>\nWhat geometric term could you use to describe the top and bottom edges of a book? Why?<br \/>\nAnswer:<br \/>\nThe top and bottom edges of a book are parallel lines.<br \/>\nExplanation :<br \/>\nBoth the lines are equidistant from each other and they never intersect each other lines .<\/p>\n<p>Question 2.<br \/>\nThe blades of an open pair of scissors look like what pair of lines? Why?<br \/>\nAnswer:<br \/>\nperpendicular lines .<br \/>\nExplanation :<br \/>\nWhen the scissor is open it look like perpendicular lines intersecting at right angle .<\/p>\n<p><strong>Do You Know How?<\/strong><br \/>\nFor 3-6, use the diagram.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10567\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-17.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 17\" width=\"117\" height=\"140\" \/><br \/>\nQuestion 3.<br \/>\nName four points.<br \/>\nAnswer:<br \/>\nThe Four points are W, X, Y and Z .<br \/>\nExplanation :<br \/>\nA point is a location represented by a dot. A point does not have any length, width, shape or size, it only has a position.<br \/>\nWhen two distinct points are connected they form a line.<\/p>\n<p>Question 4.<br \/>\nName four lines.<br \/>\nAnswer:<br \/>\nThe four lines are WX, XZ, ZY and YW .<\/p>\n<p>Question 5.<br \/>\nName two pairs of parallel lines.<br \/>\nAnswer:<br \/>\nThe two pairs of parallel lines are WX ll YZ .<\/p>\n<p>Question 6.<br \/>\nName two pairs of perpendicular lines.<br \/>\nAnswer:<br \/>\nThe two pairs of perpendicular lines are WY <b>\u22a5\u00a0\u00a0<\/b>YZ and ZX <b>\u22a5\u00a0<\/b>WX .<\/p>\n<p><strong>Independent Practice<\/strong><\/p>\n<p>For 7-12, use geometric terms to describe what is shown. Be as specific as possible.<br \/>\nQuestion 7.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10568\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-18.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 18\" width=\"105\" height=\"107\" \/><br \/>\nAnswer:<br \/>\nLM ll to HI .<br \/>\nExplanation :<br \/>\nBoth the lines are equidistant and doesn&#8217;t intersect so the given lines are parallel lines .<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10569\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-19.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 19\" width=\"112\" height=\"115\" \/><br \/>\nAnswer:<br \/>\nGH <b>\u22a5\u00a0<\/b>EF<br \/>\nExplanation :<br \/>\nBoth the lines are intersecting at a point forming Right angle so, the lines are perpendicular lines .<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10570\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-20.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 20\" width=\"35\" height=\"45\" \/><br \/>\nAnswer:<br \/>\nIt is a point A .<br \/>\nExplanation :<br \/>\nA point is a location represented by a dot. A point does not have any length, width, shape or size, it only has a position.<br \/>\nWhen two distinct points are connected they form a line.<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10571\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-21.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 21\" width=\"110\" height=\"94\" \/><br \/>\nAnswer:<br \/>\nPerpendicular paths<br \/>\nExplanation :<br \/>\nPerpendicular lines are\u00a0lines that intersect at a right (90 degrees) angle.<br \/>\nBoth the Road paths are intersecting at a point forming Right angle so, the Road paths are perpendicular to each other\u00a0 .<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10572\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-22.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 22\" width=\"112\" height=\"94\" \/><br \/>\nAnswer:<br \/>\nParallel paths .<br \/>\nExplanation :<br \/>\nThe two straight lines in a plane that do not intersect at any point are said to be parallel.<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10573\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-23.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 23\" width=\"108\" height=\"93\" \/><br \/>\nAnswer:<br \/>\nIntersecting Lines<br \/>\nExplanation :<br \/>\nA pair of lines, line segments or rays are intersecting if they have a common point. This common point is their point of intersection .<\/p>\n<p>For 13-15, draw what is described by the geometric terms.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19732\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-1-Lines-Independent-Practice-Question-13-1.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-1-Lines-Independent-Practice-Question-13\" width=\"260\" height=\"230\" \/><br \/>\nQuestion 13.<br \/>\nPerpendicular lines<br \/>\nAnswer:<br \/>\nPerpendicular lines &#8211; SW <b>\u22a5 <\/b>UV and TX <b>\u22a5<\/b> UV .<\/p>\n<p>Question 14.<br \/>\nIntersecting lines<br \/>\nAnswer:<br \/>\nIntersecting lines &#8211; Line SW is interescted at point U and Line TX is interescted at V .<\/p>\n<p>Question 15.<br \/>\nParallel lines<br \/>\nAnswer:<br \/>\nParallel lines &#8211; SW ll TX .<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 16.<br \/>\n<strong>Critique Reasoning<\/strong><br \/>\nBella names this line \\(\\overleftrightarrow{\\mathrm{LM}}\\). Miguel names the line \\(\\overleftrightarrow{L N}\\). Who is correct? Explain.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10574\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-24.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 24\" width=\"337\" height=\"141\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-24.png 337w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-24-300x126.png 300w\" sizes=\"(max-width: 337px) 100vw, 337px\" \/><br \/>\nAnswer:<br \/>\nBoth are correct<br \/>\nExplanation :<br \/>\nThese three points L, M and N all lie on the same line.<br \/>\nThis line could be called &#8216;Line LM&#8217;, &#8216;Line MN&#8217;, &#8216;Line LN&#8217;, &#8216;Line NL&#8217;, &#8216;Line NM&#8217;, or &#8216;Line ML&#8217;<\/p>\n<p>Question 17.<br \/>\nConstruct Arguments if all perpendicular lines are also intersecting lines, are all intersecting lines also perpendicular lines? Explain.<br \/>\nAnswer:<br \/>\nPerpendicular lines\u00a0always intersect each other, however, all intersecting lines are not always perpendicular to each other.<br \/>\nThe two main properties of perpendicular lines are: Perpendicular lines always meet or intersect each other.<br \/>\nThe angle between any two perpendicular lines is always equal to 90.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19734\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-1-Lines-Problem-Solving-Question-17.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-1-Lines- Problem-Solving-Question-17\" width=\"349\" height=\"400\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-1-Lines-Problem-Solving-Question-17.jpg 349w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-1-Lines-Problem-Solving-Question-17-262x300.jpg 262w\" sizes=\"(max-width: 349px) 100vw, 349px\" \/><br \/>\nPerpendicular lines intersect at a right angle. and do not intersect in this image, but if you imagine extending both lines, they will intersect soon. So, they are neither parallel nor perpendicular.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19735\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-1-Lines-Problem-Solving-Question-17..jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-1-Lines- Problem-Solving-Question-17.\" width=\"199\" height=\"283\" \/><\/p>\n<p>Question 18.<br \/>\nDraw three lines so two of the lines are perpendicular and the third line intersects the perpendicular lines at exactly one point. Label the lines with points.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19736\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-1-Lines-Problem-Solving-Question-18.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-1-Lines- Problem-Solving-Question-18\" width=\"222\" height=\"249\" \/><br \/>\nExplanation :<br \/>\nline m and n are perpendicular lines and line l intersects the perpendicular line at D point as shown in above figure .<\/p>\n<p>Question 19.<br \/>\nHigher Order Thinking \\(\\overleftrightarrow{A B}\\) is parallel to \\(\\overleftrightarrow{C D}\\), and \\(\\overleftrightarrow{C D}\\) is perpendicular to \\(\\overleftrightarrow{E F}\\). If a line through B and D is perpendicular to \\(\\overleftrightarrow{A B}\\), what is the relationship between \\(\\overleftrightarrow{B D}\\) and \\(\\overleftrightarrow{E F}\\)?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10575\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-25.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 25\" width=\"297\" height=\"140\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19737\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-1-Lines-Problem-Solving-Question-19.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-1-Lines- Problem-Solving-Question-19\" width=\"346\" height=\"212\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-1-Lines-Problem-Solving-Question-19.jpg 346w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-1-Lines-Problem-Solving-Question-19-300x184.jpg 300w\" sizes=\"(max-width: 346px) 100vw, 346px\" \/><br \/>\nExplanation :<br \/>\n\\(\\overleftrightarrow{A B}\\) ll \\(\\overleftrightarrow{C D}\\) .<br \/>\n\\(\\overleftrightarrow{C D}\\) <b>\u22a5 <\/b>\\(\\overleftrightarrow{E F}\\)<br \/>\nif \\(\\overleftrightarrow{A B}\\) <b>\u22a5 <\/b>\\(\\overleftrightarrow{B D}\\) then ,<br \/>\n\\(\\overleftrightarrow{B D}\\) and \\(\\overleftrightarrow{E F}\\) are parallel lines asshown in above figure .<\/p>\n<p><strong>Assessment Practice\u00a0<\/strong><\/p>\n<p>Question 20.<br \/>\nWhich geometric term would you use to describe the power cables shown at the right?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10576\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-26.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 26\" width=\"302\" height=\"275\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-26.png 302w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-26-300x273.png 300w\" sizes=\"(max-width: 302px) 100vw, 302px\" \/><br \/>\nA. Perpendicular lines<br \/>\nB. Parallel lines<br \/>\nC. Intersecting lines<br \/>\nD. Points<br \/>\nAnswer:<br \/>\nOption B &#8211; Parallel lines .<br \/>\nExplanation :<br \/>\nBoth the power cables are parallel to each other as there are equidistant from each other .<\/p>\n<h3>Lesson 16.2 Classify Triangles<\/h3>\n<p><strong>Solve &amp; Share<\/strong><br \/>\nSort the triangles shown below into two or more groups. Explain how you sorted them. Solve this problem any way you choose.<br \/>\nI can &#8230; reason about line segments and angles to classify triangles.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10577\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-27.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 27\" width=\"626\" height=\"571\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-27.png 626w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-27-300x274.png 300w\" sizes=\"(max-width: 626px) 100vw, 626px\" \/><\/p>\n<p>Look Back! Generalize What is true about all 7 triangles you sorted?<br \/>\nAnswer :<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19846\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-2-Classify-Triangles-Problem-Solve-Share.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-2-Classify-Triangles-Problem-Solve-&amp;-Share\" width=\"464\" height=\"303\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-2-Classify-Triangles-Problem-Solve-Share.jpg 464w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-2-Classify-Triangles-Problem-Solve-Share-300x196.jpg 300w\" sizes=\"(max-width: 464px) 100vw, 464px\" \/><\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Can You Classify Triangles?<\/p>\n<p>Visual Learning Bridge<br \/>\nTriangles can be classified by the line segments that make their sides.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10578\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-28.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 28\" width=\"606\" height=\"179\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-28.png 606w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-28-300x89.png 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<p>Triangles can be classified by their angle measures.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10579\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-29.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 29\" width=\"647\" height=\"389\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-29.png 647w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-29-300x180.png 300w\" sizes=\"(max-width: 647px) 100vw, 647px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Convince Me!<\/strong><br \/>\nBe Precise Can a triangle have more than one obtuse angle? Explain.<br \/>\nAnswer :<br \/>\nNo<br \/>\nExplanation :<br \/>\nBecause sum of angles in the triangle = 180 degree .<br \/>\nif one angle is obtuse angle that is 120 degrees .<br \/>\nthen , other two angles will be 180 &#8211; 120 = 60 degrees .<br \/>\nthat means a triangle can have only one obtuse angle .<\/p>\n<p><strong>Another Example!<\/strong><br \/>\nThe pattern follows the rule: right triangle, acute triangle, right triangle, acute triangle&#8230;. It also follows the rule: isosceles, scalene, scalene, isosceles, scalene&#8230;. Draw a triangle that could be next in the pattern and explain.<\/p>\n<p>For the first rule, the next triangle is acute. For the second rule, it is scalene. So, the next triangle is an acute, scalene triangle. It can be the same as the second triangle in the pattern or it can be a different acute, scalene triangle.<\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Do You Understand?<\/strong><br \/>\nQuestion 1.<br \/>\nIs it possible to have an obtuse acute triangle? Explain.<br \/>\nAnswer:<br \/>\nNo, it is not possible<br \/>\nExplanation :<br \/>\nBecause sum of angles in the triangle = 180 degree .<br \/>\nif one angle is obtuse angle that is 120 degrees .<br \/>\nthen , other two angles will be 180 &#8211; 120 = 60 degrees .<br \/>\nthat means a triangle can have only one obtuse angle .<\/p>\n<p>Question 2.<br \/>\nCan a triangle have more than one right angle? If so, draw an example.<br \/>\nAnswer:<br \/>\nNo a triangle cannot have more than one right angle<br \/>\nExplanation :<br \/>\nAs if there are 2 right angles the their sum will be 180\u00b0 and the third angle will exceed the sum. &#8230; As the sum of all three angles is , the third angle would have to be zero resulting in a degenerate shape which is a line rather than a triangle.<\/p>\n<p><strong>Do You Know How?<\/strong><br \/>\nFor 3-4, classify each triangle by its sides, and then by its angles.<br \/>\nQuestion 3.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10581\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-31.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 31\" width=\"39\" height=\"69\" \/><br \/>\nAnswer:<br \/>\nIsosceles triangle<br \/>\nAcute Triangle<br \/>\nExplanation :<br \/>\nAn Isosceles triangle has at least 2 sides of same length .<br \/>\nAn Acute triangle has three acute angles. all angles measure less than a right angle .<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10582\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-32.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 32\" width=\"70\" height=\"70\" \/><br \/>\nAnswer:<br \/>\nEquilateral Triangle<br \/>\nAcute Triangle<br \/>\nExplanation :<br \/>\nAn Equilateral Triangle has 3 sides equal .<br \/>\nAn Acute triangle has three acute angles. all angles measure less than a right angle .<\/p>\n<p><strong>Independent Practice<\/strong><\/p>\n<p>For 5-10, classify each triangle by its sides, and then by its angles.<br \/>\nQuestion 5.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10583\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-33.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 33\" width=\"52\" height=\"78\" \/><br \/>\nAnswer:<br \/>\nScalene Triangle<br \/>\nRight angle Triangle<br \/>\nExplanation :<br \/>\nScalene Triangle has no sides of same length .<br \/>\nA Right Triangle has one Right Triangle .<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10584\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-34.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 34\" width=\"129\" height=\"82\" \/><br \/>\nAnswer:<br \/>\nObtuse Triangle<br \/>\nScalene Triangle<br \/>\nExplanation :<br \/>\nAn Obtuse Triangle has one obtuse angle . One angle has a measure greater than a right angle .<br \/>\nScalene Triangle has no sides of same length .<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10585\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-35.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 35\" width=\"80\" height=\"87\" \/><br \/>\nAnswer:<br \/>\nIsosceles Triangle<br \/>\nRight Triangle<br \/>\nExplanation :<br \/>\nA Right Triangle has one Right Triangle .<br \/>\nAn Isosceles triangle has at least 2 sides of same length .<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10586\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-36.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 36\" width=\"92\" height=\"116\" \/><br \/>\nAnswer:<br \/>\nIsosceles Triangle<br \/>\nRight Triangle<br \/>\nExplanation :<br \/>\nA Right Triangle has one Right Triangle .<br \/>\nAn Isosceles triangle has at least 2 sides of same length .<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10587\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-37.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 37\" width=\"142\" height=\"117\" \/><br \/>\nAnswer:<br \/>\nScalene Triangle<br \/>\nObtuse Triangle<br \/>\nExplanation :<br \/>\nAn Obtuse Triangle has one obtuse angle . One angle has a measure greater than a right angle .<br \/>\nScalene Triangle has no sides of same length .<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10588\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-38.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 38\" width=\"120\" height=\"113\" \/><br \/>\nAnswer:<br \/>\nIsosceles Triangle<br \/>\nAcute triangle<br \/>\nExplanation :<br \/>\nAn Acute triangle has three acute angles. all angles measure less than a right angle .<br \/>\nAn Isosceles triangle has at least 2 sides of same length .<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 11.<br \/>\n<strong>Reasoning<\/strong> The backyard shown at the right is an equilateral triangle. What do you know about the lengths of the other two sides that are not labeled? Explain.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10589\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-39.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 39\" width=\"184\" height=\"132\" \/><br \/>\nAnswer:<br \/>\nthe length of one side = 45 feet .<br \/>\nThe lengths of the other two sides = 45 feet<br \/>\nExplanation :<br \/>\nAn Equilateral Triangle has 3 sides equal .<\/p>\n<p>Question 12.<br \/>\n<strong>en Vision\u00ae STEM<\/strong><br \/>\nA rabbit&#8217;s field of vision is so wide that it can see predators that approach from behind. The diagram shows the field of vision of one rabbit and the field where the rabbit cannot see. Classify the triangle by its sides and its angles.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10590\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-40.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 40\" width=\"223\" height=\"241\" \/><br \/>\nAnswer:<br \/>\nThe Triangle formed is a\u00a0 Isosceles Triangle and Acute Triangle\u00a0 .<br \/>\nExplanation :<br \/>\nAn Acute triangle has three acute angles. all angles measure less than a right angle .<br \/>\nAn Isosceles triangle has at least 2 sides of same length .<\/p>\n<p>Question 13.<br \/>\nA pattern follows the rule: obtuse triangle, obtuse triangle, right triangle, obtuse triangle&#8230;. It also follows the rule: isosceles, scalene, isosceles, scalene&#8230; Draw a triangle that could be the fifth shape in the pattern and explain.<br \/>\nAnswer:<br \/>\nObtuse triangle , Isosceles Triangle is the fifth shape<\/p>\n<p>Question 14.<br \/>\n<strong>Higher Order Thinking<\/strong> Mitch draws a triangle with one obtuse angle. What are all the possible ways to classify the triangle by its angle measures and side lengths? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19851\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-2-Classify-Triangles-Problem-Solving-Question-14.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-2-Classify-Triangles-Problem-Solving-Question-14\" width=\"414\" height=\"265\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-2-Classify-Triangles-Problem-Solving-Question-14.jpg 414w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-2-Classify-Triangles-Problem-Solving-Question-14-300x192.jpg 300w\" sizes=\"(max-width: 414px) 100vw, 414px\" \/><br \/>\nExplanation :<br \/>\nObtuse angle angle is formed with all different sides and with two sides equal .<\/p>\n<p><strong>Assessment Practice<\/strong><\/p>\n<p>Question 15.<br \/>\nDraw each triangle in its correct angle classification.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10591\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-41.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 16 Lines, Angles, and Shapes 41\" width=\"568\" height=\"149\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-41.png 568w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-16-Lines-Angles-and-Shapes-41-300x79.png 300w\" sizes=\"(max-width: 568px) 100vw, 568px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19852\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-2-Classify-Triangles-Assessment-Practice-Question-15.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-2-Classify-Triangles- Assessment-Practice-Question-15\" width=\"573\" height=\"188\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-2-Classify-Triangles-Assessment-Practice-Question-15.jpg 573w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-2-Classify-Triangles-Assessment-Practice-Question-15-300x98.jpg 300w\" sizes=\"(max-width: 573px) 100vw, 573px\" \/><\/p>\n<h3>Lesson 16.3 Classify Quadrilaterals<\/h3>\n<p><strong>Solve &amp; Share<\/strong><br \/>\nDraw three different four-sided shapes that have opposite sides parallel. Explain how your shapes are alike and how they are different. Solve this problem any way you choose.<br \/>\nI can &#8230; reason about line segments and angles to classify quadrilaterals.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10592\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-42.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 42\" width=\"398\" height=\"454\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-42.png 398w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-42-263x300.png 263w\" sizes=\"(max-width: 398px) 100vw, 398px\" \/><\/p>\n<p>Look Back! What attributes do your shapes have in common?<br \/>\nAnswer :<br \/>\nA Parallelogram<a href=\"https:\/\/www.varsitytutors.com\/hotmath\/hotmath_help\/topics\/parallelogram.html\">\u00a0<\/a>is a quadrilateral in which both pairs of opposite sides are parallel .<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.varsitytutors.com\/assets\/vt-hotmath-legacy\/hotmath_help\/topics\/quadrilaterals\/parallelograms.gif\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-3-Classify-Quadrilaterals-Solve &amp; Share\" width=\"285\" height=\"94\" \/><\/p>\n<p>A Rectangle<strong><a href=\"https:\/\/www.varsitytutors.com\/hotmath\/hotmath_help\/topics\/rectangle.html\">\u00a0<\/a><\/strong>is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.varsitytutors.com\/assets\/vt-hotmath-legacy\/hotmath_help\/topics\/quadrilaterals\/rectangles.gif\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-3-Classify-Quadrilaterals-Solve &amp; Share\" width=\"212\" height=\"98\" \/><\/p>\n<p>A\u00a0 Trapezoid<a href=\"https:\/\/www.varsitytutors.com\/hotmath\/hotmath_help\/topics\/trapezoid.html\"><strong>\u00a0<\/strong><\/a>is a quadrilateral with exactly one pair of parallel sides.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.varsitytutors.com\/assets\/vt-hotmath-legacy\/hotmath_help\/topics\/quadrilaterals\/trapezoid.gif\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-3-Classify-Quadrilaterals-Solve &amp; Share\" width=\"254\" height=\"133\" \/><\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Can You Classify Quadrilaterals?<\/p>\n<p><strong>Visual Learning Bridge<\/strong><br \/>\nQuadrilaterals can be classified by their angles or the line segments that make their sides. Which of the quadrilaterals shown have only one pair of parallel sides? Which have two pairs of parallel sides?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10593\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-43.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 43\" width=\"675\" height=\"313\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-43.png 675w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-43-300x139.png 300w\" sizes=\"(max-width: 675px) 100vw, 675px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10594\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-44.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 44\" width=\"100\" height=\"67\" \/><br \/>\nA rhombus is a quadrilateral that has opposite sides that are parallel and all of its sides are the same length. It is also a parallelogram.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10595\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-45.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 45\" width=\"158\" height=\"64\" \/><br \/>\nA trapezoid is a quadrilateral with only one pair of parallel sides.<br \/>\nTrapezoids have only one pair of parallel sides.<br \/>\nParallelograms, rectangles, squares, and rhombuses all have two pairs of parallel sides.<\/p>\n<p>Convince Me! Use Structure How are a parallelogram and a rectangle the same? How are they different?<\/p>\n<p><strong>Another Example!<\/strong><br \/>\nPerpendicular sides form right angles. Can a trapezoid have perpendicular sides?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10596\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-46.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 46\" width=\"152\" height=\"83\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-46.png 152w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-46-150x83.png 150w\" sizes=\"(max-width: 152px) 100vw, 152px\" \/><br \/>\nA trapezoid can have two right angles that form perpendicular sides. A trapezoid with two right angles is called a right trapezoid.<\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Do You Understand?<\/strong><br \/>\nQuestion 1.<br \/>\nWhat is true about all quadrilaterals?<br \/>\nAnswer:<br \/>\nAll Quadrilaterals have four sides, are coplanar, have two diagonals, and the sum of their four interior angles equals 360 degrees.<\/p>\n<p>Question 2.<br \/>\nWhat is the difference between a square and a rhombus?<br \/>\nAnswer:<br \/>\nThe sides of a square are perpendicular to each other and its diagonals are of equal length.<br \/>\nA rhombus is a quadrilateral in which the opposite sides are\u00a0parallel\u00a0and the opposite angles are equal.<\/p>\n<p>Question 3.<br \/>\nShane drew a quadrilateral with at least 2 right angles and at least 1 pair of parallel sides. Name three quadrilaterals Shane could have drawn.<br \/>\nAnswer:<br \/>\nThe Three Quadrilaterals with at least 2 right angles and at least 1 pair of parallel sides are Trapezoid , Rectangle and Square .<br \/>\nExplanation :<br \/>\nA trapezoid can have two right angles that form perpendicular sides. A trapezoid with two right angles is called a right trapezoid.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-10596 size-full\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-46.png\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-3-Classify-Quadrilaterals-Guided-Practice-Question-3\" width=\"152\" height=\"83\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-46.png 152w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-46-150x83.png 150w\" sizes=\"(max-width: 152px) 100vw, 152px\" \/><br \/>\nA Rectangle<strong><a href=\"https:\/\/www.varsitytutors.com\/hotmath\/hotmath_help\/topics\/rectangle.html\">\u00a0<\/a><\/strong>is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.varsitytutors.com\/assets\/vt-hotmath-legacy\/hotmath_help\/topics\/quadrilaterals\/rectangles.gif\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-3-Classify-Quadrilaterals-Guided-Practice-Question-3\" width=\"212\" height=\"98\" \/><br \/>\nA Square<a href=\"https:\/\/www.varsitytutors.com\/hotmath\/hotmath_help\/topics\/square.html\"><strong>\u00a0<\/strong><\/a>can be defined as a rhombus which is also a rectangle \u2013 in other words, a parallelogram with four congruent sides and four right angles.<\/p>\n<p><strong>Do You Know How?<\/strong><br \/>\nFor 4-7, write all the names possible for each quadrilateral.<br \/>\nQuestion 4.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10597\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-47.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 47\" width=\"98\" height=\"70\" \/><br \/>\nAnswer:<br \/>\nRectangle<br \/>\nExplanation :<br \/>\nOpposite sides are equal and parallel<br \/>\nFour Right Angles .<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10598\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-48.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 48\" width=\"79\" height=\"81\" \/><br \/>\nAnswer:<br \/>\nRhombus<br \/>\nExplanation :<br \/>\nAll Four sides are equal and parallel<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10599\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-49.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 49\" width=\"55\" height=\"67\" \/><br \/>\nAnswer:<br \/>\nSquare<br \/>\nExplanation :<br \/>\nAll four sides are equal and parallel<br \/>\nFour Right Angles .<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10600\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-50.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 50\" width=\"100\" height=\"69\" \/><br \/>\nAnswer:<br \/>\nScalene Quadrilateral<br \/>\nExplanation :<br \/>\nA scalene quadrilateral is a four-sided polygon that has no congruent sides.<\/p>\n<p><strong>Independent Practice<\/strong><\/p>\n<p>For 8-11, write all the names possible for each quadrilateral.<br \/>\nQuestion 8.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10601\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-51.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 51\" width=\"122\" height=\"73\" \/><br \/>\nAnswer:<br \/>\nParallelogram<br \/>\nExplanation :<br \/>\nA parallelogram is a quadrilateral in which both pairs of opposite sides are parallel<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10602\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-52.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 52\" width=\"110\" height=\"67\" \/><br \/>\nAnswer:<br \/>\nRhombus<br \/>\nExplanation :<br \/>\nA Rhombus is a parallelogram with four equal<a href=\"https:\/\/www.varsitytutors.com\/hotmath\/hotmath_help\/topics\/congruent-segments.html\">\u00a0<\/a>sides.<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10603\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-53.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 53\" width=\"115\" height=\"125\" \/><br \/>\nAnswer:<br \/>\nSquare<br \/>\nExplanation :<br \/>\nAll four sides are equal and parallel<br \/>\nFour Right Angles .<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10604\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-54.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 54\" width=\"145\" height=\"79\" \/><br \/>\nAnswer:<br \/>\nRectangle<br \/>\nExplanation :<br \/>\nA Rectangle<strong><a href=\"https:\/\/www.varsitytutors.com\/hotmath\/hotmath_help\/topics\/rectangle.html\">\u00a0<\/a><\/strong>is a parallelogram with four right angles .<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 12.<br \/>\nThe pattern follows the rule: quadrilateral with no parallel sides, quadrilateral with two pairs of parallel sides, quadrilateral with two pairs of parallel sides, quadrilateral with no parallel sides, quadrilateral with two pairs of parallel sides&#8230;. Draw quadrilaterals that could be the next three in the pattern.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10605\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-55.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 55\" width=\"438\" height=\"79\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-55.png 438w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-55-300x54.png 300w\" sizes=\"(max-width: 438px) 100vw, 438px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19889\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-3-Classify-Quadrilaterals-Problem-Solving-Question-12.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-3-Classify-Quadrilaterals-Problem-Solving-Question-12\" width=\"776\" height=\"146\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-3-Classify-Quadrilaterals-Problem-Solving-Question-12.jpg 776w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-3-Classify-Quadrilaterals-Problem-Solving-Question-12-300x56.jpg 300w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-3-Classify-Quadrilaterals-Problem-Solving-Question-12-768x144.jpg 768w\" sizes=\"(max-width: 776px) 100vw, 776px\" \/><\/p>\n<p>Question 13.<br \/>\n<strong>Critique Reasoning<\/strong> Tia says every square is a rectangle, and every square is a rhombus, so every rectangle must be a rhombus. Do you agree? Explain.<br \/>\nAnswer:<br \/>\nNo, Every Rectangle is not a Rhombus .<br \/>\nExplanation :<br \/>\nA square is a quadrilateral with all 4 angles right angles and all 4 sides of same length.<br \/>\nSo a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all 4 angles right angles.<br \/>\nYes, a rhombus is a quadrilateral with 4 equal sides.<br \/>\nEvery\u00a0square has\u00a04 equal length sides, so every square is a rhombus.<br \/>\nNo, every\u00a0rectangle is not a rhombus because Rectangle have only opposite sides , whereas in Rhombus all four sides are equal .<\/p>\n<p>Question 14.<br \/>\n<strong>Number Sense<\/strong> What number comes next in the pattern? The rule is &#8220;Multiply the position number by itself.\u201d Describe a feature of the pattern.<br \/>\n1, 4, 9, 16, \u2610<br \/>\nAnswer:<br \/>\n1, 4, 9, 16, 25 .<br \/>\nExplanation :<br \/>\nMultiply the position to itself means squaring the position of the number<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19890\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-3-Classify-Quadrilaterals-Problem-Solving-Question-14.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-3-Classify-Quadrilaterals-Problem-Solving-Question-14\" width=\"238\" height=\"116\" \/><\/p>\n<p>Question 15.<br \/>\n<strong>Higher Order Thinking<\/strong><br \/>\nCould you use the formula for finding the perimeter of a square to find the perimeter of another quadrilateral? Explain.<br \/>\nThe formula for the perimeter of a square is P = 4 \u00d7 s.<br \/>\nAnswer:<\/p>\n<p><strong>Assessment Practice<\/strong><\/p>\n<p>Question 16.<br \/>\nSelect all the possible names for the shape below.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10606\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-56.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 56\" width=\"162\" height=\"74\" \/><br \/>\n\u2610 Quadrilateral<br \/>\n\u2610 Rhombus<br \/>\n\u2610 Trapezoid<br \/>\n\u2610 Parallelogram<br \/>\n\u2610 Rectangle<br \/>\nAnswer:<br \/>\nQuadrilateral and Trapezoid<\/p>\n<p>Question 17.<br \/>\nWhich shape has only 1 pair of parallel sides?<br \/>\nA. Rhombus<br \/>\nB. Square<br \/>\nC. Right trapezoid<br \/>\nD. Parallelogram<br \/>\nAnswer:<br \/>\nRight Trapezoid<\/p>\n<h3>Lesson 16.4 Line Symmetry<\/h3>\n<p><strong>Solve &amp; Share<br \/>\n<\/strong>Question :<br \/>\nHow many ways can you fold the square so one half fits exactly on top of the other half? How many ways can you fold the letter so one half fits exactly on top of the other half? Solve this problem any way you choose.<br \/>\nI can &#8230;recognize and draw lines of symmetry and identify line-symmetric figures.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10607\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-57.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 57\" width=\"459\" height=\"455\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-57.png 459w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-57-300x297.png 300w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-57-150x150.png 150w\" sizes=\"(max-width: 459px) 100vw, 459px\" \/><\/p>\n<p>Look Back! Reasoning What figures can you form when you fold a square in half? How are the different figures related to symmetry?<br \/>\nAnswer :<br \/>\nThe G have zero lines of symmetry.<br \/>\nThe rest of the letters, A, B, C, D, and E all have only 1 line of symmetry. Notice that the A has a vertical line of symmetry, while the B, C, D, and E have a horizontal line of symmetry.<\/p>\n<p><strong>Essential Question<\/strong><br \/>\nWhat is Line Symmetry<\/p>\n<p><strong>Visual Learning Bridge<\/strong><br \/>\nA figure is line symmetric if it can be folded on a line to form two matching parts that fit exactly on top of each other. The fold line is called a line of symmetry. There is one line of symmetry drawn on the picture of the truck. How many lines of symmetry do the figures below have?<br \/>\nCount the lines of symmetry drawn on each figure below.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10608\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-58.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 58\" width=\"197\" height=\"250\" \/><\/p>\n<p>A figure can have more than one line of symmetry.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10609\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-59.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 59\" width=\"186\" height=\"137\" \/><br \/>\nThis figure is line symmetric. It has 2 lines of symmetry. It can be folded on each line of symmetry into matching parts.<\/p>\n<p>A figure can have many lines of symmetry.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10610\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-60.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 60\" width=\"175\" height=\"149\" \/><br \/>\nThis figure is line symmetric. It has 6 lines of symmetry. It can be folded on each line of symmetry into matching parts.<\/p>\n<p>A figure can have no lines of symmetry.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10611\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-61.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 61\" width=\"99\" height=\"149\" \/><br \/>\nThis figure is NOT line symmetric. It has O lines of symmetry. It cannot be folded to have matching parts.<\/p>\n<p>Convince Me! Look for Relationships Find two capital letters that have exactly one line of symmetry. Find two capital letters that have exactly two lines of symmetry.<\/p>\n<p><strong>Guided Practices<\/strong><\/p>\n<p><strong>Do You Understand?<\/strong><br \/>\nQuestion 1.<br \/>\nHow many lines of symmetry does the letter R have?<br \/>\nAnswer:<br \/>\nLetter R have Zero lines of symmetry as it cannot be divided into two identical shapes .<\/p>\n<p>Question 2.<br \/>\nHow many lines of symmetry does the figure below have?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10612\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-62.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 62\" width=\"108\" height=\"68\" \/><br \/>\nAnswer:<br \/>\nThe given figure have One line of symmetry .<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19892\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-2.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-2\" width=\"191\" height=\"161\" \/><br \/>\nExplanation :<br \/>\nThis figure is line symmetric. It has 1 lines of symmetry. It can be folded on each line of symmetry into matching parts.<\/p>\n<p>Question 3.<br \/>\nHow many lines of symmetry can you find for a circle? Do you think you can count them?<br \/>\nAnswer:<br \/>\nA circle has\u00a0infinite lines of\u00a0symmetry. A circle is symmetric about all its diagonals.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19893\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-3.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-3\" width=\"348\" height=\"284\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-3.jpg 348w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-3-300x245.jpg 300w\" sizes=\"(max-width: 348px) 100vw, 348px\" \/><\/p>\n<p><strong>Do You Know How?<\/strong><br \/>\nFor 4-5, tell if each line is a line of symmetry.<br \/>\nQuestion 4.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10613\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-63.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 63\" width=\"131\" height=\"34\" \/><br \/>\nAnswer:<br \/>\nLine of symmetry<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10614\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-64.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 64\" width=\"99\" height=\"76\" \/><br \/>\nAnswer:<br \/>\nYes , it is a line of symmetry as two identical shapes are formed .<\/p>\n<p>For 6-7, tell how many lines of symmetry each figure has.<br \/>\nQuestion 6.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10615\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-65.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 65\" width=\"77\" height=\"49\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19894\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-6.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-6\" width=\"157\" height=\"103\" \/><br \/>\nExplanation :<br \/>\nThis figure is line symmetric. It has 1 lines of symmetry. It can be folded on each line of symmetry into matching parts.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10616\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-66.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 66\" width=\"69\" height=\"73\" \/><br \/>\nAnswer:<br \/>\nThis figure is NOT line symmetric. It has O lines of symmetry. It cannot be folded to have matching parts.<\/p>\n<p><strong>Independent Practice<\/strong><\/p>\n<p>For 8-11, tell if each line is a line of symmetry.<br \/>\nQuestion 8.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10617\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-67.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 67\" width=\"76\" height=\"89\" \/><br \/>\nAnswer:<br \/>\nThis figure is line symmetric. It has 1 lines of symmetry. It can be folded on each line of symmetry into matching parts.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10618\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-68.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 68\" width=\"124\" height=\"78\" \/><br \/>\nAnswer:<br \/>\nNo<br \/>\nExplanation :<br \/>\nThis figure is NOT line symmetric. It has O lines of symmetry. It cannot be folded to have matching parts.<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10619\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-69.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 69\" width=\"89\" height=\"36\" \/><br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10620\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-70.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 70\" width=\"123\" height=\"84\" \/><br \/>\nAnswer:<br \/>\nThis figure is line symmetric. It has 1 lines of symmetry. It can be folded on each line of symmetry into matching parts.<\/p>\n<p>For 12-19, decide if each figure is line symmetric. Draw and tell how many lines of symmetry each figure has.<br \/>\nQuestion 12.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10621\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-71.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 71\" width=\"71\" height=\"96\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19895\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-12.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-12\" width=\"169\" height=\"125\" \/><br \/>\nExplanation :<br \/>\nThis figure is line symmetric. It has 1 lines of symmetry. It can be folded on each line of symmetry into matching parts.<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10622\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-72.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 72\" width=\"92\" height=\"99\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19897\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-13.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-13\" width=\"173\" height=\"126\" \/><br \/>\nExplanation :<br \/>\nThis figure is line symmetric. It has 1 lines of symmetry. It can be folded on each line of symmetry into matching parts.<\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10623\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-73.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 73\" width=\"67\" height=\"99\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19899\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-14.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-14\" width=\"148\" height=\"146\" \/><br \/>\nExplanation :<br \/>\nA line of symmetry is defined as the line that a figure can be divided into half, with the end result of the two halves matching up exactly.<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10624\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-74.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 74\" width=\"88\" height=\"101\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19900\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-15.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-15\" width=\"155\" height=\"151\" \/><br \/>\nExplanation :<br \/>\nThis figure is line symmetric. It has 1 lines of symmetry. It can be folded on each line of symmetry into matching parts.<\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10625\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-75.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 75\" width=\"117\" height=\"63\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19901\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-16.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-16\" width=\"166\" height=\"151\" \/><br \/>\nExplanation :<br \/>\nThis figure is line symmetric. It has 1 lines of symmetry. It can be folded on each line of symmetry into matching parts.<\/p>\n<p>Question 17.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10626\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-76.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 76\" width=\"61\" height=\"72\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19902\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-17.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-17\" width=\"195\" height=\"151\" \/><br \/>\nExplanation :<br \/>\nThis figure is line symmetric. It has 3 lines of symmetry. It can be folded on each line of symmetry into matching parts.<\/p>\n<p>Question 18.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10627\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-77.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 77\" width=\"95\" height=\"65\" \/><br \/>\nAnswer:<br \/>\nzero .<br \/>\nExplanation :<br \/>\nThis figure is NOT line symmetric. It has O lines of symmetry. It cannot be folded to have matching parts.<\/p>\n<p>Question 19.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10628\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-78.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 78\" width=\"81\" height=\"82\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19903\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-19.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Guided-Practices-Question-19\" width=\"202\" height=\"166\" \/><br \/>\nExplanation :<br \/>\nThis figure is line symmetric. It has 4 lines of symmetry. It can be folded on each line of symmetry into matching parts.<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 20.<br \/>\nThe Thomas Jefferson Memorial is located in Washington, D.C. Use the picture of the memorial at the right to decide whether the building is line symmetric. If so, describe where the line of symmetry is.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10629\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-79.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 79\" width=\"258\" height=\"224\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19904\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Problem-Solving-Question-20.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Problem-Solving-Question-20\" width=\"278\" height=\"339\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Problem-Solving-Question-20.jpg 278w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Problem-Solving-Question-20-246x300.jpg 246w\" sizes=\"(max-width: 278px) 100vw, 278px\" \/><br \/>\nExplanation :<br \/>\nThis figure is line symmetric. It has 1 lines of symmetry. It can be folded on each line of symmetry into matching parts.<\/p>\n<p>Question 21.<br \/>\nName the type of triangle outlined in green on the picture of the memorial.<br \/>\nAnswer:<br \/>\nAcute Triangle .<\/p>\n<p>Question 22.<br \/>\n<strong>Construct Arguments<\/strong><br \/>\nHow can you tell when a line is NOT a line of symmetry?<br \/>\nAnswer:<br \/>\nFolding Test : You can find if a shape has a Line of Symmetry by folding it. When the folded part sits perfectly on top (all edges matching), then the fold line is a Line of Symmetry.<br \/>\nIt cannot be folded to have matching parts. then it have zero lines of symmetry .<\/p>\n<p>Question 23.<br \/>\n<strong>Higher Order Thinking<\/strong> How many lines of symmetry can a parallelogram have? Explain.<br \/>\nAnswer:<br \/>\nzero<br \/>\nExplanation :<\/p>\n<p><img class=\"alignnone\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Problem-Solving-Question-23\" width=\"304\" height=\"146\" data-reactid=\".19y9oezv4y0.0.0.0.1:0.1.0.$0.$1.$15.1\" \/><\/p>\n<ul class=\"list unordered\" data-reactid=\".19y9oezv4y0.0.0.0.1:0.1.0.$0.$1.$16\">\n<li data-reactid=\".19y9oezv4y0.0.0.0.1:0.1.0.$0.$1.$16.$0\"><span data-reactid=\".19y9oezv4y0.0.0.0.1:0.1.0.$0.$1.$16.$0.0\">A parallelogram has no lines of symmetry.<\/span><\/li>\n<li data-reactid=\".19y9oezv4y0.0.0.0.1:0.1.0.$0.$1.$16.$1\"><span data-reactid=\".19y9oezv4y0.0.0.0.1:0.1.0.$0.$1.$16.$1.0\">It has rotational symmetry of order two.<\/span><\/li>\n<\/ul>\n<p><strong>Assessment Practice<\/strong><\/p>\n<p>Question 24.<br \/>\nWhich figure has six lines of symmetry? Draw lines as needed.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10630\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-80.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 80\" width=\"304\" height=\"242\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-80.png 304w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-80-300x239.png 300w\" sizes=\"(max-width: 304px) 100vw, 304px\" \/><br \/>\nAnswer:<br \/>\nOption C &#8211; has 6 lines of symmetry .<br \/>\nExplanation :<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-19906\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Problem-Solving-Question-20-1.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Problem-Solving-Question-20\" width=\"347\" height=\"318\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Problem-Solving-Question-20-1.jpg 347w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-4-Line-Symmetry-Problem-Solving-Question-20-1-300x275.jpg 300w\" sizes=\"(max-width: 347px) 100vw, 347px\" \/><\/p>\n<p>Question 25.<br \/>\nWhich figure is NOT line symmetric?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10631\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-16-Lines-Angles-and-Shapes-81.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 16 Lines, Angles, and Shapes 81\" width=\"286\" height=\"218\" \/><br \/>\nAnswer:<br \/>\nOption A .<\/p>\n<h3>Lesson 16.5 Draw Shapes with Line Symmetry<\/h3>\n<p><strong>Solve &amp; Share<\/strong><br \/>\nCraig and Julia are designing kites. A kite will fly well if the kite has line symmetry. Does Craig&#8217;s or Julia&#8217;s kite have line symmetry? Explain. Then, design your own kites. Design one kite with 2 lines of symmetry and another kite with 3 lines of symmetry. Solve this problem any way you choose.<br \/>\nI can&#8230;draw a figure that has line symmetry.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10632\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-82.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 82\" width=\"454\" height=\"462\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-82.png 454w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-82-295x300.png 295w\" sizes=\"(max-width: 454px) 100vw, 454px\" \/><\/p>\n<p>Question :<br \/>\nLook Back! Can both Craig&#8217;s and Julia&#8217;s kites be folded into matching parts? If one of the kites is not line symmetric, can it be changed so that it is? Explain.<br \/>\nAnswer :<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-20045\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Solve-Share.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Solve-&amp;-Share\" width=\"617\" height=\"369\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Solve-Share.jpg 617w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Solve-Share-300x179.jpg 300w\" sizes=\"(max-width: 617px) 100vw, 617px\" \/><\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Can You Draw Figures one with Line Symmetry?<\/p>\n<p>Visual Learning Bridge<br \/>\nSarah wants to design a line-symmetric tabletop. She sketched half of the tabletop. What are two ways Sarah can complete her design?<br \/>\nThe tabletop is line symmetric if the design can be folded along a line of symmetry, into matching parts.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10633\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-83.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 83\" width=\"116\" height=\"101\" \/><\/p>\n<p><strong>One Way<\/strong><br \/>\nDraw a line of symmetry.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10634\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-84.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 84\" width=\"150\" height=\"91\" \/><br \/>\nComplete Sarah&#8217;s design on the opposite side of the line of symmetry.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10635\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-85.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 85\" width=\"149\" height=\"121\" \/><br \/>\nThe design for the tabletop is now line symmetric.<\/p>\n<p><strong>Another Way<\/strong><br \/>\nDraw a different line of symmetry.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10636\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-86.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 86\" width=\"155\" height=\"89\" \/><br \/>\nComplete Sarah&#8217;s design on the opposite side of the line of symmetry.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10637\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-87.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 87\" width=\"147\" height=\"124\" \/><br \/>\nThe design for the tabletop is now line symmetric.<\/p>\n<p>Convince Me!<br \/>\nQuestion :<br \/>\nModel with Math Sarah sketched different designs for a smaller tabletop. Use the lines of symmetry to draw ways Sarah can complete each design.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10638\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-88.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 88\" width=\"356\" height=\"144\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-88.png 356w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-88-300x121.png 300w\" sizes=\"(max-width: 356px) 100vw, 356px\" \/><br \/>\nAnswer :<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-20047\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Convince-Me.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Convince-Me\" width=\"392\" height=\"197\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Convince-Me.jpg 392w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Convince-Me-300x151.jpg 300w\" sizes=\"(max-width: 392px) 100vw, 392px\" \/><br \/>\nExplanation :<br \/>\nWe say there is symmetry when the exact reflection or mirror image of a line, shape or object gets created. The line of symmetry can be defined as\u00a0the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.<\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Do You Understand?<\/strong><br \/>\nQuestion 1.<br \/>\nChandler tried to complete Sarah&#8217;s design from the previous page. Describe the error Chandler made.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10639\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-89.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 89\" width=\"148\" height=\"126\" \/><br \/>\nAnswer:<br \/>\nthe image formed is not the exact reflection .<br \/>\nExplanation :<br \/>\nWe say there is symmetry when the exact reflection or mirror image of a line, shape or object gets created. The line of symmetry can be defined as\u00a0the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.<\/p>\n<p>Question 2.<br \/>\nHow can folding a piece of paper help to determine if a line in a figure is a line of symmetry?<br \/>\nAnswer:<br \/>\nIf the figure can be folded along a straight line so that one half of the figure exactly matches the other half, the figure has line symmetry. The crease is the line of symmetry.<\/p>\n<p><strong>Do You Know How?<\/strong><br \/>\nFor 3-4, use the line of symmetry to draw a line-symmetric figure.<br \/>\nQuestion 3.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10640\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-90.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 90\" width=\"153\" height=\"150\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-20049\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Guided-Practice-Question-3.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Guided-Practice-Question-3\" width=\"186\" height=\"195\" \/><br \/>\nExplanation :<br \/>\nWe say there is symmetry when the exact reflection or mirror image of a line, shape or object gets created. The line of symmetry can be defined as\u00a0the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10641\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-91.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 91\" width=\"148\" height=\"150\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-20050\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Guided-Practice-Question-4.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Guided-Practice-Question-4\" width=\"186\" height=\"195\" \/><br \/>\nExplanation :<br \/>\nWe say there is symmetry when the exact reflection or mirror image of a line, shape or object gets created. The line of symmetry can be defined as\u00a0the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.<\/p>\n<p><strong>Independent Practice<\/strong><\/p>\n<p>For 5-10, use the line of symmetry to draw a line-symmetric figure.<br \/>\nQuestion 5.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10642\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-92.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 92\" width=\"126\" height=\"121\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-20051\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Independent-Practice-Question-5.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Independent-Practice-Question-5\" width=\"151\" height=\"145\" \/><br \/>\nExplanation :<br \/>\nWe say there is symmetry when the exact reflection or mirror image of a line, shape or object gets created. The line of symmetry can be defined as\u00a0the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10643\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-93.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 93\" width=\"122\" height=\"123\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-20052\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Independent-Practice-Question-6.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Independent-Practice-Question-6\" width=\"151\" height=\"145\" \/><br \/>\nExplanation :<br \/>\nWe say there is symmetry when the exact reflection or mirror image of a line, shape or object gets created. The line of symmetry can be defined as\u00a0the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10644\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-94.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 94\" width=\"128\" height=\"121\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-20053\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Independent-Practice-Question-7.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Independent-Practice-Question-7\" width=\"151\" height=\"145\" \/><br \/>\nExplanation :<br \/>\nWe say there is symmetry when the exact reflection or mirror image of a line, shape or object gets created. The line of symmetry can be defined as\u00a0the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10645\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-95.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 95\" width=\"130\" height=\"113\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-20054\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Independent-Practice-Question-8.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Independent-Practice-Question-8\" width=\"151\" height=\"145\" \/><br \/>\nExplanation :<br \/>\nWe say there is symmetry when the exact reflection or mirror image of a line, shape or object gets created. The line of symmetry can be defined as\u00a0the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10646\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-96.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 96\" width=\"122\" height=\"123\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-20055\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Independent-Practice-Question-9.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Independent-Practice-Question-9\" width=\"151\" height=\"145\" \/><br \/>\nExplanation :<br \/>\nWe say there is symmetry when the exact reflection or mirror image of a line, shape or object gets created. The line of symmetry can be defined as\u00a0the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10647\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-97.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 97\" width=\"125\" height=\"121\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-20056\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Independent-Practice-Question-10.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Independent-Practice-Question-10\" width=\"151\" height=\"145\" \/><br \/>\nExplanation :<br \/>\nWe say there is symmetry when the exact reflection or mirror image of a line, shape or object gets created. The line of symmetry can be defined as\u00a0the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 11.<br \/>\nDraw a figure that has no lines of symmetry.<br \/>\nAnswer:<br \/>\n<span style=\"font-size: inherit; letter-spacing: 0px;\">A scalene triangle, have no lines of symmetry \u2013 it is not possible to fold the shape about a line so that the two halves fit exactly on top of one another.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-20057\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Problem-Solving-Question-11.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Problem-Solving-Question-11\" width=\"320\" height=\"194\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Problem-Solving-Question-11.jpg 320w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Lesson-16-5-Draw-Shapes-with-Line-Symmetry-Problem-Solving-Question-11-300x182.jpg 300w\" sizes=\"(max-width: 320px) 100vw, 320px\" \/><br \/>\n<\/span><\/p>\n<div id=\"yui_3_17_2_1_1629149091576_35\" class=\"oucontent-content\">\n<div id=\"fig080\" class=\"oucontent-figure oucontent-media-mini\"><\/div>\n<\/div>\n<div id=\"ocw_prev_next_container\">\n<div class=\"oucontent-prev ousearch-noindex\"><\/div>\n<\/div>\n<p>Question 12.<br \/>\nVanessa drew a figure that has an infinite number of lines of symmetry. What figure could Vanessa have drawn?<br \/>\nAnswer:<br \/>\nCircle have infinite number of lines of symmetry .<\/p>\n<p>Question 13.<br \/>\n<strong>enVision\u00ae STEM<\/strong><br \/>\nDogs can smell odors that humans cannot. Dogs can be trained to alert their owners when they smell odors associated with illness. If a dog trains 2 hours every day for 1 year, how many hours has the dog trained?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10648\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-98.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 98\" width=\"232\" height=\"188\" \/><br \/>\nAnswer:<br \/>\nNumber of hours dog train for a day = 2 hours<br \/>\nNumber of hours dog train for 1 year = 2 hours <strong>\u00d7\u00a0<\/strong>365 days = 730 hours .<\/p>\n<p>Question 14.<br \/>\nMake Sense and Persevere<br \/>\nClare trained for a long-distance marathon. She ran a total of 225 miles in 3 months. The first month she ran 50 miles. If she ran 25 more miles each month, how many miles did she run in her third month of training?<br \/>\nAnswer:<br \/>\nTotal Distance ran = 225 miles<br \/>\nDistance covered\u00a0 in First month = 50 miles .<br \/>\nDistance covered in Second month = 50 + 25 = 75 miles .<br \/>\nDistance covered in\u00a0 third month = 75 + 25 = 100 miles .<\/p>\n<p>Question 15.<br \/>\n<strong>Higher Order Thinking<\/strong> Can you draw a line that divides a figure in half but is NOT a line of symmetry? Use the figures below to explain.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10649\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-99.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 99\" width=\"246\" height=\"91\" \/><br \/>\nAnswer:<br \/>\nNo, because the given line drawn are lines of symmetry it divides the figure into identical halves .<\/p>\n<p><strong>Assessment Practice<\/strong><\/p>\n<p>Question 16.<br \/>\nWhich of the following figures is line symmetric about the dashed line?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10650\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-100.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 100\" width=\"658\" height=\"124\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-100.png 658w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-100-300x57.png 300w\" sizes=\"(max-width: 658px) 100vw, 658px\" \/><br \/>\nAnswer:<br \/>\nOption B &#8211; as two identical halves are formed by line of symmetry .<br \/>\nExplanation :<br \/>\nWe say there is symmetry when the exact reflection or mirror image of a line, shape or object gets created. The line of symmetry can be defined as\u00a0the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.<\/p>\n<h3>Lesson 16.6 Problem Solving<\/h3>\n<p><strong>Critique Reasoning<\/strong><br \/>\n<strong>Solve &amp; Share<\/strong><br \/>\nNathan gave the answer shown to the following question. True or False? All right triangles have two sides the same length. How do you respond to Nathan&#8217;s reasoning?<br \/>\nI can &#8230; critique the reasoning of others by using what I know about two-dimensional shapes.<\/p>\n<p>Nathan<br \/>\nThat&#8217;s true. Here are three different sizes of right triangles. In each, two sides are the same length.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10651\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-101.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 101\" width=\"268\" height=\"136\" \/><\/p>\n<p>Thinking Habits<br \/>\nBe a good thinker! These questions can help you.<\/p>\n<ul>\n<li>What questions can I ask to understand other people&#8217;s thinking?<\/li>\n<li>Are there mistakes in other people&#8217;s thinking?<\/li>\n<li>Can I improve other people&#8217;s thinking?<\/li>\n<\/ul>\n<p>Look Back! Critique Reasoning Nathan answered another question. True or false: A triangle can have two right angles. Nathan says this is not possible. Do you agree or disagree? Explain.<br \/>\nAnswer :<br \/>\nBecause of the fact that the sum of the three interior angles of a\u00a0triangle\u00a0must be 180 degrees, a\u00a0triangle could not have two right angles<\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Can You Critique the Reasoning of Others?<\/p>\n<p>Visual Learning Bridge<br \/>\nAbby gave the answer shown to the following question.<br \/>\nTrue or False? Every quadrilateral has at least one right angle.<br \/>\nAbby<br \/>\nTrue. Here are different quadrilaterals. They all have four sides and four right angles.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10653\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-103.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 103\" width=\"239\" height=\"123\" \/><br \/>\nWhat is Abby&#8217;s reasoning to support her statement?<br \/>\nAbby drew quadrilaterals that have right angles.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10652\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-102.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 102\" width=\"364\" height=\"125\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-102.png 364w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-102-300x103.png 300w\" sizes=\"(max-width: 364px) 100vw, 364px\" \/><\/p>\n<p>How can I critique the reasoning of others?<br \/>\nI can<\/p>\n<ul>\n<li>ask questions about Abby&#8217;s reasoning<\/li>\n<li>look for flaws in her reasoning.<\/li>\n<li>decide whether all cases have been considered.<\/li>\n<\/ul>\n<p>Here&#8217;s my thinking.<br \/>\nAbby&#8217;s reasoning has flaws.<br \/>\nShe used only special kinds of quadrilaterals in her argument. For these special cases, the statement is true.<br \/>\nHere is a quadrilateral that has no right angles. It shows the statement is not true about every quadrilateral.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10654\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-104.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 104\" width=\"103\" height=\"50\" \/><br \/>\nThe statement is false.<\/p>\n<p>Convince Me! Be Precise Would Abby&#8217;s reasoning be correct if the question was changed to: True or False? Some quadrilaterals have at least one right angle. Explain.<\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Critique Reasoning<\/strong><br \/>\nAnthony said all multiples of 4 end in 2, 4, or 8. He gave 4, 8, 12, 24, and 28 as examples.<br \/>\nQuestion 1.<br \/>\nWhat is Anthony&#8217;s argument? How does he support it?<br \/>\nAnswer:<br \/>\nNo &#8211; Anthony is wrong .<br \/>\nExplanation :<br \/>\nall multiples of 4 end in 0, 2, 4, 6 and 8 .<br \/>\nExamples &#8211;<br \/>\n4 \u00d7 4 = 16<br \/>\n4 \u00d7 5 = 20 and e t c .<\/p>\n<p>Question 2.<br \/>\nDescribe at least one thing you could do to critique Anthony&#8217;s reasoning.<br \/>\nAnswer:<br \/>\nLook flaws in the statement and checking for all numbers .<\/p>\n<p>Question 3.<br \/>\nDoes Anthony&#8217;s reasoning make sense? Explain.<br \/>\nAnswer:<br \/>\nYes &#8211; As he is calculated the values of 4 of squares of 2 and their respective square numbers .<\/p>\n<p><strong>Independent Practice<\/strong><\/p>\n<p><strong>Critique Reasoning<\/strong> Marista said the polygons shown all have the same number of angles as they have sides.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10655\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-105.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 105\" width=\"322\" height=\"95\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-105.png 322w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-105-300x89.png 300w\" sizes=\"(max-width: 322px) 100vw, 322px\" \/><br \/>\nQuestion 4.<br \/>\nDescribe at least one thing you could do to critique Marista&#8217;s reasoning.<br \/>\nAnswer:<br \/>\nNumber of interior angles of a polygon is equal number of Number of sides irrespective of exterior angles .<\/p>\n<p>Question 5.<br \/>\nDoes Marista&#8217;s reasoning make sense? Explain.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10656\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-106.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 106\" width=\"294\" height=\"183\" \/><br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\nCan you think of any examples that prove all polygons don&#8217;t have the same number of sides as angles? Explain.<br \/>\nAnswer:<br \/>\nNo,<br \/>\nA polygon\u00a0has the same number\u00a0of sides and angles.<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p><strong>Performance Task<\/strong><br \/>\nDog Pen<br \/>\nCaleb is designing a dog pen for the animal shelter. He has 16 feet of fence, including the gate. His designs and explanation are shown. Critique Caleb&#8217;s reasoning.<br \/>\nDog pens usually have right angles, so I just used rectangles.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10657\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-107.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 107\" width=\"212\" height=\"96\" \/><br \/>\nBoth my pens used 16 feet of fence. I think the square one is better, because it has more area.<\/p>\n<p>Question 7.<br \/>\n<strong>Reasoning<\/strong> What quantities are given in the problem and what do the numbers mean?<br \/>\nAnswer:<br \/>\nThe Quantities given are the length and Breadth of the Rectangle pen and the side of the square .<br \/>\nthe numbers help in calculating the Area .<\/p>\n<p>Question 8.<br \/>\n<strong>Critique Reasoning<\/strong> What can you do to critique Caleb&#8217;s thinking?<br \/>\nAnswer:<br \/>\nThe two shapes are given Rectangle and Square with their respective Quantities .<br \/>\nThe Area of Rectangle is smaller than the Rectangle of the Square .<br \/>\nThe area of the Square is preferred because it has more area than Rectangle .<\/p>\n<p>Question 9.<br \/>\nBe Precise Did Caleb correctly calculate the perimeter of each fence? Explain.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10658\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-108.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 108\" width=\"244\" height=\"480\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-108.png 244w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-108-153x300.png 153w\" sizes=\"(max-width: 244px) 100vw, 244px\" \/><br \/>\nAnswer:<br \/>\nNo,<br \/>\nExplanation :<br \/>\nLength of Rectangle = 5 feet<br \/>\nBreadth of Rectangle = 2 feet<br \/>\nPerimeter of Rectangle = 2 ( Length + Breadth ) = 2 ( 5 + 2 ) = 2 ( 7 ) = 14 feets .<br \/>\nSide of Square = 4 feet .<br \/>\nPerimeter of Square = 4 ( Side ) = 4 ( 4 ) = 16 feets .<\/p>\n<p>Question 10.<br \/>\n<strong>Critique Reasoning<\/strong> Does Caleb&#8217;s reasoning make sense? Explain.<br \/>\nAnswer:<br \/>\nNo,<br \/>\nExplanation :<br \/>\nAs, perimeter and area are not calculated correctly .<br \/>\nLength of Rectangle = 5 feet<br \/>\nBreadth of Rectangle = 2 feet<br \/>\nPerimeter of Rectangle = 2 ( Length + Breadth ) = 2 ( 5 + 2 ) = 2 ( 7 ) = 14 feet .<br \/>\nSide of Square = 4 feet .<br \/>\nPerimeter of Square = 4 ( Side ) = 4 ( 4 ) = 16 feet .<\/p>\n<p>Question 11.<br \/>\nBe Precise Explain how you know what units to use in your explanation.<br \/>\nAnswer:<br \/>\nPerimeter measured in feet .<br \/>\nArea measured in square feet .<\/p>\n<h3>Topic 16 Fluency Practice Activity<\/h3>\n<p><strong>Find a Match<\/strong><br \/>\nWork with a partner. Point to a clue. Read the clue. Look below the clues to find a match. Write the clue letter in the box next to the match. Find a match for every clue.<br \/>\nI can &#8230; add multi-digit whole numbers.<\/p>\n<p>Clues<br \/>\nA. The sum is between 650 and 750.<br \/>\nB. The sum is between 1,470 and 1,480.<br \/>\nC. The sum is exactly 1,550.<br \/>\nD. The sum is between 1,350 and 1,450.<br \/>\nE. The sum is exactly 790.<br \/>\nF. The sum is exactly 1,068.<br \/>\nG. The sum is between 1,100 and 1,225.<br \/>\nH. The sum is exactly 1,300.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10659\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-109.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 109\" width=\"659\" height=\"380\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-109.png 659w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-109-300x173.png 300w\" sizes=\"(max-width: 659px) 100vw, 659px\" \/><br \/>\nAnswer :<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-20334 size-full\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Fluency-Practice-Activity-Find-a-Match.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Fluency-Practice-Activity-Find-a-Match\" width=\"651\" height=\"409\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Fluency-Practice-Activity-Find-a-Match.jpg 651w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Fluency-Practice-Activity-Find-a-Match-300x188.jpg 300w\" sizes=\"(max-width: 651px) 100vw, 651px\" \/><\/p>\n<h3>Topic 16 Vocabulary Review<\/h3>\n<p>Understand Vocabulary<\/p>\n<p>Word List<\/p>\n<ul>\n<li>acute triangle<\/li>\n<li>equilateral triangle<\/li>\n<li>intersecting lines<\/li>\n<li>isosceles triangle<\/li>\n<li>line of symmetry<\/li>\n<li>line symmetric<\/li>\n<li>obtuse triangle<\/li>\n<li>parallel lines<\/li>\n<li>parallelogram<\/li>\n<li>perpendicular lines<\/li>\n<li>rectangle<\/li>\n<li>rhombus<\/li>\n<li>right triangle<\/li>\n<li>scalene triangle<\/li>\n<li>square<\/li>\n<li>trapezoid<\/li>\n<\/ul>\n<p>Write T for true and F for false.<br \/>\nQuestion 1.<br \/>\n________ An acute triangle is a triangle with one acute angle.<br \/>\nAnswer:<br \/>\nTrue<\/p>\n<p>Question 2.<br \/>\n_________ An isosceles triangle has at least two equal sides.<br \/>\nAnswer:<br \/>\nTrue<\/p>\n<p>Question 3.<br \/>\n______ A figure is line symmetric if it has at least one line of symmetry<br \/>\nAnswer:<br \/>\nTrue<\/p>\n<p>Question 4.<br \/>\n__________ Perpendicular lines form obtuse angles where they intersect.<br \/>\nAnswer:<br \/>\nFalse<\/p>\n<p>Question 6.<br \/>\n__________ A trapezoid has two pairs of parallel sides.<br \/>\nAnswer:<br \/>\nFalse<\/p>\n<p>Write always, sometimes, or never.<br \/>\nQuestion 6.<br \/>\nAn equilateral triangle __________ has three equal sides.<br \/>\nAnswer:<br \/>\nAn equilateral triangle always has three equal sides.<\/p>\n<p>Question 7.<br \/>\nParallel lines _________ intersect.<br \/>\nAnswer:<br \/>\nParallel lines Never intersect.<\/p>\n<p>Question 8.<br \/>\nA scalene triangle __________ has equal sides.<br \/>\nAnswer:<br \/>\nA scalene triangle never has equal sides.<\/p>\n<p>Question 9.<br \/>\nA rectangle is _________ a square.<br \/>\nAnswer:<br \/>\nA rectangle is sometimes a square.<\/p>\n<p>Question 10.<br \/>\nA rhombus __________ has opposite sides that are parallel.<br \/>\nAnswer:<br \/>\nA rhombus always has opposite sides that are parallel.<\/p>\n<p><strong>Use Vocabulary in Writing<\/strong><br \/>\nQuestion 11.<br \/>\nRebecca drew a figure. Describe Rebecca&#8217;s figure. Use at least 3 terms from the Word List in your description.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10660\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-16-Lines-Angles-and-Shapes-110.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 16 Lines, Angles, and Shapes 110\" width=\"120\" height=\"71\" \/><br \/>\nAnswer:<br \/>\nQuadrilateral<br \/>\nParallelogram<\/p>\n<h3>Topic 16 Reteaching<\/h3>\n<p><strong>Set A pages 585-588<\/strong><\/p>\n<p>Pairs of lines are given special names: parallel, intersecting, or perpendicular.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10661\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-111.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 111\" width=\"292\" height=\"116\" \/><br \/>\n\\(\\overleftrightarrow{D E}\\) and \\(\\overleftrightarrow{F G}\\) are parallel lines.<\/p>\n<p><strong>Remember<\/strong> to use geometric terms when describing what is shown.<br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10662\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-112.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 112\" width=\"128\" height=\"128\" \/><br \/>\nAnswer:<br \/>\n\\(\\overleftrightarrow{P Q}\\) and \\(\\overleftrightarrow{R S}\\) are perpendicular lines.<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10663\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-113.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 113\" width=\"126\" height=\"61\" \/><br \/>\nAnswer:<br \/>\nBoth lines are perpendicular intersect at point Y .<\/p>\n<p><strong>Set B pages 589-592<\/strong><\/p>\n<p>Triangles can be classified by their sides and angles.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10664\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-114.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 114\" width=\"96\" height=\"94\" \/><br \/>\nTwo sides are the same length, and each angle measures less than a right angle. It is an isosceles, acute triangle.<\/p>\n<p><strong>Remember<\/strong> to classify each triangle by its sides and then by its angles.<br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10665\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-115.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 115\" width=\"123\" height=\"59\" \/><br \/>\nAnswer:<br \/>\nTwo sides are the same length &#8211; Isosceles<br \/>\nAll angles are less than 90 degrees<br \/>\nso, isosceles acute triangle .<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10666\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-116.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 116\" width=\"115\" height=\"72\" \/><br \/>\nAnswer:<br \/>\nall sides are different<br \/>\nRight angle<br \/>\nso, Scalene right triangle<\/p>\n<p><strong>Set C pages 593-596<\/strong><\/p>\n<p>Name the quadrilateral.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10667\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-117.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 117\" width=\"165\" height=\"77\" \/><br \/>\nOpposite sides are parallel. There are no right angles. All sides are not the same length. It is a parallelogram, but not a rectangle, rhombus, or square.<\/p>\n<p><strong>Remember<\/strong> that a quadrilateral can be a rectangle, square, trapezoid, parallelogram, or rhombus.<\/p>\n<p>Write all the names possible for each quadrilateral.<br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10668\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-118.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 118\" width=\"119\" height=\"59\" \/><br \/>\nAnswer:<br \/>\nTrapezoid &#8211; only 1 pair of parallel sides<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10669\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-119.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 119\" width=\"99\" height=\"96\" \/><br \/>\nAnswer:<br \/>\nRhombus<br \/>\nExplanation :<br \/>\n2 pairs of parallel sides<br \/>\n4 equal sides<\/p>\n<p><strong>Set D pages 597-600<\/strong><\/p>\n<p>How many lines of symmetry does the figure have?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10670\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-120.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 120\" width=\"84\" height=\"157\" \/><br \/>\nFold the figure along the dashed line. The two halves are equal and fit one on top of the other. The figure is line symmetric.<br \/>\nIt cannot be folded on another line, so it has 1 line of symmetry.<\/p>\n<p><strong>Remember<\/strong> that figures can have many lines of symmetry.<\/p>\n<p>Draw and tell how many lines of symmetry for each figure.<br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10671\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-121.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 121\" width=\"76\" height=\"66\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-20335\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-ReteachingSet-D-Question-1.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-ReteachingSet-D-Question-1\" width=\"204\" height=\"158\" \/><br \/>\nExplanation :<br \/>\nThis figure is line symmetric. It has 4 lines of symmetry. It can be folded on each line of symmetry into matching parts.<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10672\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-122.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 122\" width=\"72\" height=\"71\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-20336\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-ReteachingSet-D-Question-2.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-ReteachingSet-D-Question-2\" width=\"185\" height=\"101\" \/><\/p>\n<p>Explanation :<br \/>\nThis figure is line symmetric. It has 1 lines of symmetry. It can be folded on each line of symmetry into matching parts.<\/p>\n<p><strong>Set E pages 601-604<\/strong><\/p>\n<p>Complete a design with line symmetry.<br \/>\nDraw a line of symmetry for the shape.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10673\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-123.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 123\" width=\"131\" height=\"127\" \/><br \/>\nComplete the design on the opposite side of the line of symmetry.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10674\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-124.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 124\" width=\"132\" height=\"122\" \/><\/p>\n<p><strong>Remember<\/strong>, for a figure to be line symmetric, it must have a line of symmetry.<\/p>\n<p>Complete the designs.<br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10675\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-125.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 125\" width=\"135\" height=\"151\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-20337\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Reteaching-Set-E-Question-1.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Reteaching-Set-E-Question-1\" width=\"185\" height=\"151\" \/><br \/>\nExplanation :<br \/>\nWe say there is symmetry when the exact reflection or mirror image of a line, shape or object gets created. The line of symmetry can be defined as\u00a0the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10676\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-126.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 126\" width=\"142\" height=\"146\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-20338\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Reteaching-Set-E-Question-2.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Reteaching-Set-E-Question-2\" width=\"185\" height=\"151\" \/><br \/>\nExplanation :<br \/>\nWe say there is symmetry when the exact reflection or mirror image of a line, shape or object gets created. The line of symmetry can be defined as\u00a0the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.<\/p>\n<p><strong>Set F pages 605-608<\/strong><\/p>\n<p>Think about these questions to help you critique the reasoning of others.<br \/>\nThinking Habits<br \/>\nBe a good thinker! These questions can help you.<\/p>\n<ul>\n<li>What questions can I ask to understand other people&#8217;s thinking?<\/li>\n<li>Are there mistakes in other people&#8217;s thinking?<\/li>\n<li>Can I improve other people&#8217;s thinking?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10677\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-127.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 127\" width=\"135\" height=\"159\" \/><\/li>\n<\/ul>\n<p><strong>Remember<\/strong> that it only takes one counterexample to show the statement is false.<\/p>\n<p>Derek says, &#8220;All triangles have 1 right angle.&#8221;<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10678\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-128.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 128\" width=\"262\" height=\"82\" \/><br \/>\nQuestion 1.<br \/>\nUse the figures above to critique Derek&#8217;s statement.<br \/>\nAnswer:<br \/>\nThe First two triangles ( from left to Right )in the figure are Right triangle but the third triangle is a Equilateral Triangle .<\/p>\n<p>Question 2.<br \/>\nWhat kinds of triangles NEVER have right angles?<br \/>\nAnswer:<br \/>\nSince a right-angled triangle has one right angle, the other two angles are acute. Therefore,\u00a0an obtuse-angled triangle\u00a0can never have a right angle; and vice versa. The side opposite the obtuse angle in the triangle is the longest.<br \/>\nAny triangle that is not a right triangle is\u00a0an oblique triangle. Solving an oblique triangle means finding the measurements of all three angles and all three sides.<\/p>\n<h3>Topic 16 Assessment Practice<\/h3>\n<p>Question 1.<br \/>\nOf a parallelogram, rectangle, rhombus, and trapezoid, which cannot describe a square? Explain.<br \/>\nAnswer:<br \/>\n<span style=\"font-size: inherit; letter-spacing: 0px;\">A square can be a rhombus, parallelogram, a rectangle do not have to be a\u00a0 Trapezoid .<br \/>\n<\/span><span style=\"color: #333333; font-weight: 600; letter-spacing: 0px;\">Explanation:<br \/>\n<\/span><span style=\"font-size: inherit; letter-spacing: 0px;\">A rhombus is a quadrilateral with all four sides being of equal length.<\/span><span style=\"font-size: inherit; letter-spacing: 0px;\"><br \/>\n<\/span><span style=\"font-size: inherit; letter-spacing: 0px;\">A parallelogram is a quadrilateral with two pairs of parallel sides.<\/span><span style=\"font-size: inherit; letter-spacing: 0px;\"><br \/>\n<\/span><span style=\"font-size: inherit; letter-spacing: 0px;\">A rectangle is a quadrilateral with four right angles and 2 parallel sides .<br \/>\n<\/span><span style=\"font-size: inherit; letter-spacing: 0px;\">A square is a quadrilateral with four right angles and equal side lengths.<br \/>\nWhere as a A trapezoid is a quadrilateral with at least one pair of parallel sides.<br \/>\nit sides are not of different lengths .\u00a0<\/span><\/p>\n<div class=\"answerDescription\">\n<div class=\"markdown\">\n<p>Looking at the definitions, a square is already guaranteed to be a rhombus. Here are examples of each of the other shapes which are not rhombuses.<\/p>\n<\/div>\n<\/div>\n<p>Question 2.<br \/>\nHow many acute angles are there in an equilateral triangle?<br \/>\nAnswer:<br \/>\nAn equilateral triangle has\u00a0three acute angles .<\/p>\n<p>Question 3.<br \/>\nGavin drew different-colored lines. Draw a line that is parallel to \\(\\overleftrightarrow{S R}\\).<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10679\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-129.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 129\" width=\"143\" height=\"119\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-20471\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Assessment-Practice-Question-1.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Assessment-Practice-Question-1\" width=\"185\" height=\"154\" \/><br \/>\nExplanation :<br \/>\nA line is drawn from M which is parallel to \\(\\overleftrightarrow{S R}\\) .<\/p>\n<p>Question 4.<br \/>\nMarci described the light from the sun as a line that starts at the sun and continues on forever. Which geometric term best describes Marci&#8217;s description of the sun&#8217;s light?<br \/>\nAnswer:<br \/>\nIt is a Ray<br \/>\nExplanation :<br \/>\nA ray can be defined as a part of a line that has a fixed starting point but no end point. It can extend infinitely in one direction.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/cdn-skill.splashmath.com\/panel-uploads\/GlossaryTerm\/89e4251d13ff4f47a034fb028981ae03\/1548239084_Ray-in-geometry.png\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Assessment-Practice-Question-4\" width=\"680\" height=\"85\" \/><\/p>\n<p>Question 5.<br \/>\nFour of Mrs. Cromwell&#8217;s students decorated a bulletin board with the shapes shown below. Order the students&#8217; shapes in order from fewest lines of symmetry to most lines of symmetry.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10680\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-130.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 130\" width=\"290\" height=\"210\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-20472 size-full\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Assessment-Practice-Question-5.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Assessment-Practice-Question-5\" width=\"428\" height=\"386\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Assessment-Practice-Question-5.jpg 428w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Assessment-Practice-Question-5-300x271.jpg 300w\" sizes=\"(max-width: 428px) 100vw, 428px\" \/><\/p>\n<p>Question 6.<br \/>\nAre all intersecting lines perpendicular? Draw a picture to help explain your answer.<br \/>\nAnswer:<br \/>\n<span style=\"font-size: inherit; letter-spacing: 0px;\">Perpendicular lines are a particular case of intersecting lines when an angle between them is\u00a0<\/span><span id=\"MathJax-Element-1-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"font-size: inherit; letter-spacing: 0px;\"><span id=\"MJXc-Node-1\" class=\"mjx-math\"><span id=\"MJXc-Node-2\" class=\"mjx-mrow\"><span id=\"MJXc-Node-3\" class=\"mjx-mstyle\"><span id=\"MJXc-Node-4\" class=\"mjx-mrow\"><span id=\"MJXc-Node-5\" class=\"mjx-msup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-6\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">90<\/span><\/span><\/span><span class=\"mjx-sup\"><span id=\"MJXc-Node-7\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">o<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"font-size: inherit; letter-spacing: 0px;\">.<br \/>\n<\/span><span style=\"color: #333333; font-weight: 600; letter-spacing: 0px;\">Explanation:<br \/>\n<\/span>Perpendicular lines always intersect each other<span style=\"letter-spacing: 0px;\">, however, all intersecting lines are not always perpendicular to each other. The two main properties of perpendicular lines are: Perpendicular lines always meet or intersect each other. The angle between any two perpendicular lines is always equal to 90.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-20473 size-full\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Assessment-Practice-Question-6.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Assessment-Practice-Question-6\" width=\"615\" height=\"469\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Assessment-Practice-Question-6.jpg 615w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Assessment-Practice-Question-6-300x229.jpg 300w\" sizes=\"(max-width: 615px) 100vw, 615px\" \/><br \/>\n<\/span><\/p>\n<p>Question 7.<br \/>\nA four-sided figure with two pairs of parallel sides cannot be what type of quadrilateral? Explain.<br \/>\nAnswer:<br \/>\nTrapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be\u00a0a parallelogram.<br \/>\nThe correct answer is that all trapezoids are quadrilaterals. . Trapezoids are four-sided polygons, so they are all quadrilaterals.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.varsitytutors.com\/assets\/vt-hotmath-legacy\/hotmath_help\/topics\/quadrilaterals\/trapezoid.gif\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Assessment-Practice-Question-7\" width=\"254\" height=\"133\" \/><\/p>\n<p>Question 8.<br \/>\nEquilateral triangle ABC has one side with a length of 4 inches. What are the lengths of each of the other two sides of the triangle? Explain.<br \/>\nAnswer:<br \/>\nAn equilateral triangle is\u00a0a triangle with all three sides of equal length , corresponding to what could also be known as a &#8220;regular&#8221; triangle .<br \/>\nif one side is 4 inches then other two ides will also be 4 inches .<\/p>\n<p>Question 9.<br \/>\nWhich set of angles could form a triangle?<br \/>\nA. Two right angles, one acute angle<br \/>\nB. One obtuse angle, one right angle, one acute angle<br \/>\nC. Two obtuse angles, one acute angle<br \/>\nD. One right angle, two acute angles<br \/>\nAnswer:<br \/>\nOption\u00a0 D .<\/p>\n<p>Question 10.<br \/>\nA figure has one angle formed from a pair of perpendicular lines, one pair of parallel sides, and no sides with equal lengths. What geometric term can be used to name this figure?<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\nDina&#8217;s teacher asks her to describe the top and bottom edges of her ruler using a geometric term. What term could Dina use?<br \/>\nAnswer:<br \/>\nThe top and bottom edge of the ruler is like a straight line .<\/p>\n<p>Question 12.<br \/>\nShapes are divided into two groups. These are the shapes in the first group.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10681\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-131.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 131\" width=\"316\" height=\"82\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-131.png 316w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-131-300x78.png 300w\" sizes=\"(max-width: 316px) 100vw, 316px\" \/><br \/>\nThe following shapes do not belong in the group above. These are the shapes in the second group.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10682\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-132.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 132\" width=\"264\" height=\"76\" \/><br \/>\nWhat generalization can be made about the shapes in the first group?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10681\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-131.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 131\" width=\"316\" height=\"82\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-131.png 316w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-131-300x78.png 300w\" sizes=\"(max-width: 316px) 100vw, 316px\" \/><br \/>\nIn the above group we have shapes like Parallelogram , Trapezoid and Equilateral Triangle<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10682\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-132.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 132\" width=\"264\" height=\"76\" \/><br \/>\nIn the above group, We have shapes like Trapezoid , right Triangle and Square .<br \/>\nGeneralization made is square can be a parallelogram in few statements .<\/p>\n<p>Question 13.<br \/>\nComplete the drawing so the figure is line symmetric.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10683\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-133.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 133\" width=\"223\" height=\"221\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-133.png 223w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-133-150x150.png 150w\" sizes=\"(max-width: 223px) 100vw, 223px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-20560\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Assessment-Practice-Question-13.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Assessment-Practice-Question-13\" width=\"258\" height=\"258\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Assessment-Practice-Question-13.jpg 258w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Assessment-Practice-Question-13-150x150.jpg 150w\" sizes=\"(max-width: 258px) 100vw, 258px\" \/><br \/>\nExplanation :<br \/>\nFold the figure along the dashed line. The two halves are equal and fit one on top of the other. The figure is line symmetric.<br \/>\nIt cannot be folded on another line, so it has 1 line of symmetry.<\/p>\n<h3>Topic 16 Performance Task<\/h3>\n<p><strong>Ottoman Art<\/strong><br \/>\nThe Ottoman Empire lasted from 1299 until 1922. Much of the art from this period contained geometric shapes.<br \/>\nQuestion 1.<br \/>\nUse the Ottoman Empire figure to answer the following.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10684\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-134.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 134\" width=\"255\" height=\"181\" \/><br \/>\nPart A &#8211; Question<br \/>\nName a pair of parallel lines and explain why the lines are parallel.<br \/>\nAnswer:<br \/>\nAB ll CD .<br \/>\nExplanation :<br \/>\nBecause the points A and B are equi distant from points C and D . and they don&#8217;t intersect each other<\/p>\n<p>Part B &#8211; Question<br \/>\nThe enlarged part of the figure shows 4 triangles that are all the same type. Classify these triangles by their sides and by their angles. Explain.<br \/>\nAnswer:<br \/>\nall the sides are equal then it is Equilateral Triangle .<br \/>\nall angles will be 60 degrees .<\/p>\n<p>Part C<br \/>\nOlivia said the 4 triangles were inside a square. When asked other possible names for the square, she said it was a quadrilateral, a parallelogram, and a rectangle. Critique Olivia&#8217;s reasoning.<br \/>\nAnswer:<br \/>\nA parallelogram is a quadrilateral in which each pair of opposite sides is parallel.<br \/>\nA quadrilateral is a polygon having only four sides.<br \/>\nA rectangle is a parallelogram in which one angle is of 90 degrees .<br \/>\nYes, a square is a special type of rectangle\u00a0because it possesses all the properties of a rectangle. Similar to a rectangle, a square has: interior angles which measure 90<sup>\u2218<\/sup>\u00a0each. opposite sides that are parallel and equal.<\/p>\n<p>Question 2<br \/>\nThe basic shape used in the Ottoman Scarf is a quadrilateral. Answer the following about this shape.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10685\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-135.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 135\" width=\"274\" height=\"288\" \/><br \/>\nPart A &#8211; Question<br \/>\nWhat are all the names you can use for this quadrilateral? Explain.<br \/>\nAnswer:<br \/>\nRhombus and parallelogram<br \/>\nA parallelogram is a quadrilateral in which each pair of opposite sides is parallel.<br \/>\nA rhombus is a parallelogram in which adjacent sides are equal.<\/p>\n<p>Part B &#8211; Question<br \/>\nCorbin drew a triangle by connecting the points W, X, and Y. He said the triangle is acute because it has acute angles. Critique Corbin&#8217;s reasoning.<br \/>\nAnswer:<br \/>\nYes the Triangle formed is WXY . The triangle is acute Triangle because the triangles have acute angles .<\/p>\n<p>Part C &#8211; Question<br \/>\nDraw all lines of symmetry on the Decorative Plate. How many lines of symmetry does the plate have? Explain.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10686\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-4-Answers-Topic-16-Lines-Angles-and-Shapes-136.png\" alt=\"Envision Math Common Core Grade 4 Answers Topic 16 Lines, Angles, and Shapes 136\" width=\"205\" height=\"256\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-20568\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Performance-Task-Part-C-Question.jpg\" alt=\"Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Performance-Task-Part-C-Question\" width=\"375\" height=\"375\" srcset=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Performance-Task-Part-C-Question.jpg 375w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Performance-Task-Part-C-Question-300x300.jpg 300w, https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-4th-Grade-Answers-Key-Topic-16-Lines-Angles-and-Shapes-Topic-16-Performance-Task-Part-C-Question-150x150.jpg 150w\" sizes=\"(max-width: 375px) 100vw, 375px\" \/><br \/>\nExplanation :<br \/>\nFold the figure along the dashed line. The two halves are equal and fit one on top of the other. The figure is line symmetric.<br \/>\nIt cannot be folded on another line, so it has 1 line of symmetry.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Go through the\u00a0enVision Math Common Core Grade 4 Answer Key\u00a0Topic 16 Lines, Angles, and Shapes\u00a0regularly and improve your accuracy in solving questions. enVision Math Common Core 4th Grade Answers Key Topic 16 Lines, Angles, and Shapes Essential Questions: How can you classify triangles and quadrilaterals? What is line symmetry? enVision STEM Project: Senses and Symmetry &hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts\/10550"}],"collection":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/comments?post=10550"}],"version-history":[{"count":4,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts\/10550\/revisions"}],"predecessor-version":[{"id":27814,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts\/10550\/revisions\/27814"}],"wp:attachment":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/media?parent=10550"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/categories?post=10550"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/tags?post=10550"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}