{"id":37074,"date":"2018-01-09T16:18:21","date_gmt":"2018-01-09T16:18:21","guid":{"rendered":"https:\/\/www.mometrix.com\/academy\/?page_id=37074"},"modified":"2026-03-26T09:46:49","modified_gmt":"2026-03-26T14:46:49","slug":"symmetry","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/symmetry\/","title":{"rendered":"How to Find Symmetry"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_dtNeioEQAtM\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_dtNeioEQAtM\" data-source-videoID=\"dtNeioEQAtM\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"How to Find Symmetry Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"How to Find Symmetry\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_dtNeioEQAtM:hover {cursor:pointer;} img#videoThumbnailImage_dtNeioEQAtM {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/71-symmetry-1-1.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_dtNeioEQAtM\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_dtNeioEQAtM\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"How to Find Symmetry\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_dtNeioEQAtM\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_dtNeioEQAtM\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_dtNeioEQAtM\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction 3Qw_Function() {\n  var x = document.getElementById(\"3Qw\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"3Qw_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"3Qw\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Symmetry_and_Congruence\" class=\"smooth-scroll\">Symmetry and Congruence<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Line_and_Point_of_Symmetry\" class=\"smooth-scroll\">Line and Point of Symmetry<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Finding_Lines_of_Symmetry\" class=\"smooth-scroll\">Finding Lines of Symmetry<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Symmetry_Practice_Questions\" class=\"smooth-scroll\">Symmetry Practice Questions<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hey there! Welcome to this video on symmetry.<\/p>\n<p>Let\u2019s get started!<\/p>\n<h2><span id=\"Symmetry_and_Congruence\" class=\"m-toc-anchor\"><\/span>Symmetry and Congruence<\/h2>\n<p>\nWhat happens when I take these two shapes and I split them in half? <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/orange-squares-145x300.png\" alt=\"\" width=\"145\" height=\"300\" class=\"aligncenter size-medium wp-image-83635\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/orange-squares-145x300.png 145w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/orange-squares-496x1024.png 496w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/orange-squares-745x1536.png 745w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/orange-squares.png 762w\" sizes=\"auto, (max-width: 145px) 100vw, 145px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/orange-squares-split-300x280.png\" alt=\"\" width=\"300\" height=\"280\" class=\"aligncenter size-medium wp-image-83638\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/orange-squares-split-300x280.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/orange-squares-split-1024x954.png 1024w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/orange-squares-split-768x716.png 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/orange-squares-split-1536x1432.png 1536w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/orange-squares-split.png 1766w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>The shapes are identical in size and shape, right? I can see this more clearly by folding the images on top of each other.<\/p>\n<p>So, we can see that when I have drawn a line, I have created two <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/congruent-shapes\/\">congruent shapes<\/a>. Congruent means that the two shapes are identical. When you are able to draw a straight line through the center of a shape, and it creates two congruent shapes, then these two shapes are also symmetrical.<\/p>\n<p>Symmetry comes from the Greek word <em>symmetria<\/em>, meaning \u201ca similar agreement of parts.\u201d<\/p>\n<p>Symmetry, just like congruent shapes, means that one shape becomes exactly like the other when you move it in some way. The movement could be a turn, a flip, or a slide.<\/p>\n<p>When a shape is not symmetrical, then this is referred to as <strong>asymmetrical<\/strong>.<\/p>\n<h2><span id=\"Line_and_Point_of_Symmetry\" class=\"m-toc-anchor\"><\/span>Line and Point of Symmetry<\/h2>\n<p>\nSome shapes have lines of symmetry. A line of symmetry is a line that splits the shape in half, creating an identical shape. Some shapes only have one line of symmetry, some have two, and some have several!<\/p>\n<p>However, to draw a line of symmetry, we must first identify the point of symmetry. This is because the point of symmetry marks the point that the lines of symmetry could pass through.<\/p>\n<p>A <strong>point of symmetry<\/strong> is when there is a position or central point on an object or shape where the central point splits the object into two identical parts. And, every single line and <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/angles\/\">angle<\/a> on the other side of the central point is the same exact distance from the central point on each side.<\/p>\n<p>That was a lot. Let\u2019s take a look at what I mean.<\/p>\n<p>Where both identical lines of the cross intersect, we can see that there is a point of symmetry, but let\u2019s take a look at the definition to make sure.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/empty-cross-shapwe-300x300.png\" alt=\"\" width=\"300\" height=\"300\" class=\"aligncenter size-medium wp-image-83641\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/empty-cross-shapwe-300x300.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/empty-cross-shapwe-150x150.png 150w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/empty-cross-shapwe.png 674w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>So let me draw this line here, this point of symmetry.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/cross-with-point-300x300.png\" alt=\"\" width=\"300\" height=\"300\" class=\"aligncenter size-medium wp-image-83644\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/cross-with-point-300x300.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/cross-with-point-150x150.png 150w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/cross-with-point.png 674w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Okay, does the point split the cross into two identical, or congruent, shapes? Well, if we imagined folding it over across this point, it would then split it in half. So, check!<\/p>\n<p>Is every single line or angle of the cross the exact same distance from the point on each side?<\/p>\n<p>So &#8220;are all these angles congruent and the same exact distance from this point&#8221; is our question.<\/p>\n<p>Based on what we can see, it definitely appears that way. However, to be one hundred percent sure, we would need to measure every single line and angle. But, for this exercise, I have used an example where we are assuming all the lines and angles are the exact same distance, so check!<\/p>\n<h2><span id=\"Finding_Lines_of_Symmetry\" class=\"m-toc-anchor\"><\/span>Finding Lines of Symmetry<\/h2>\n<p>\nNow, let\u2019s practice finding lines of symmetry.<\/p>\n<h3><span id=\"Example_1\" class=\"m-toc-anchor\"><\/span>Example #1<\/h3>\n<p>\nSince we&#8217;ve already found the point of symmetry on the cross, let\u2019s see how many lines of symmetry it has. How many times can we split the cross, and get identical parts?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/sectioned-corss-shape-300x204.png\" alt=\"\" width=\"300\" height=\"204\" class=\"aligncenter size-medium wp-image-83647\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/sectioned-corss-shape-300x204.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/sectioned-corss-shape-768x522.png 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/sectioned-corss-shape.png 989w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>That gives us: 1, 2, 3, 4. So there are 4 lines of symmetry here, but after 4, there are no other lines that would give us two identical parts.<\/p>\n<p>Great job!<\/p>\n<h3><span id=\"Example_2\" class=\"m-toc-anchor\"><\/span>Example #2<\/h3>\n<p>\nLet\u2019s try another.<\/p>\n<p>How many lines of symmetry does the dog have? Or how many lines can you draw that create multiple identical parts?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/dog-shape-202x300.png\" alt=\"\" width=\"202\" height=\"300\" class=\"aligncenter size-medium wp-image-83650\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/dog-shape-202x300.png 202w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/dog-shape.png 452w\" sizes=\"auto, (max-width: 202px) 100vw, 202px\" \/><\/p>\n<p>Let&#8217;s see. If we did it through the center horizontally, we wouldn&#8217;t get two identical parts because he has a lower half and then a head. So if we do it through the center from the top to the bottom, we&#8217;ll get two eyes, two parts of the nose, two halves of the mouth, two halves of the body, and two of the legs.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/split-dog-202x300.png\" alt=\"\" width=\"202\" height=\"300\" class=\"aligncenter size-medium wp-image-83653\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/split-dog-202x300.png 202w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/split-dog.png 452w\" sizes=\"auto, (max-width: 202px) 100vw, 202px\" \/><\/p>\n<p>So we can see there&#8217;s one line of symmetry. <\/p>\n<p>If there were any more lines, then we would not have identical parts.<\/p>\n<h3><span id=\"Example_3\" class=\"m-toc-anchor\"><\/span>Example #3<\/h3>\n<p>\nWhat about the side of the dog? Do you see any lines of symmetry?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/transparent-dog-side-300x225.png\" alt=\"\" width=\"300\" height=\"225\" class=\"aligncenter size-medium wp-image-83656\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/transparent-dog-side-300x225.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/transparent-dog-side.png 600w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>No. Each end of the dog has different-shaped parts. The head is different than the tail. Let&#8217;s move on.<\/p>\n<h3><span id=\"Example_4\" class=\"m-toc-anchor\"><\/span>Example #4<\/h3>\n<p>\nOkay, now what about this thought bubble? <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/thought-bubble-pink-shape-300x261.png\" alt=\"\" width=\"300\" height=\"261\" class=\"aligncenter size-medium wp-image-83659\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/thought-bubble-pink-shape-300x261.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/thought-bubble-pink-shape.png 699w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Is there a line you can draw to create two identical parts? No.<\/p>\n<h3><span id=\"Example_5\" class=\"m-toc-anchor\"><\/span>Example #5<\/h3>\n<p>\nLet\u2019s see how many lines we can draw to split this hexagon into identical parts.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/blank-hexagon-300x248.png\" alt=\"\" width=\"300\" height=\"248\" class=\"aligncenter size-medium wp-image-83665\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/blank-hexagon-300x248.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/blank-hexagon.png 699w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>1, 2, 3, 4, 5, 6.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/split-hexagon-300x251.png\" alt=\"\" width=\"300\" height=\"251\" class=\"aligncenter size-medium wp-image-83662\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/split-hexagon-300x251.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/split-hexagon.png 689w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>You guys have done a really great job.<\/p>\n<p>Keep practicing by looking for shapes that are symmetrical in your classroom, in your house, outside, or wherever you are.<\/p>\n<hr>\n<p>\nSymmetry is everywhere, and it\u2019s very important. Architects and engineers use symmetry to design sturdy buildings and other objects. Interior designers use symmetry and asymmetrical design to make their work more appealing to look at. People everywhere use symmetry in some way.<\/p>\n<p>I hope that this video was helpful. See you next time!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Symmetry_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Symmetry Practice Questions<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nHow many lines of symmetry does a square have?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">2<\/div><div class=\"PQ\"  id=\"PQ-1-2\">1<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-3\">4<\/div><div class=\"PQ\"  id=\"PQ-1-4\">6<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>A square can be folded in half horizontally, vertically, or over each diagonal shown. Therefore, the square has four lines of symmetry.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Symmetrical-Square.svg\" alt=\"A black dot is centered on a white background with six dashed lines radiating outward in blue, red, orange, and green.\" width=\"249\" height=\"249\" class=\"aligncenter size-full wp-image-287387\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich letter has exactly two lines of symmetry?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">F<\/div><div class=\"PQ\"  id=\"PQ-2-2\">P<\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-3\">X<\/div><div class=\"PQ\"  id=\"PQ-2-4\">J<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The letter <em>X<\/em> has a vertical line of symmetry and a horizontal line of symmetry. When an imaginary line passes through the center of the letter <em>X<\/em> horizontally and vertically, it creates identical halves. The other answer options have no lines of symmetry. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Symmetrical-X.svg\" alt=\"A large gray &quot;X&quot; shape is centered, with dashed lines pointing outward from the middle in four directions: up, down, left, and right.\" width=\"170\" height=\"170\" class=\"aligncenter size-full wp-image-287369\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich image shows a dotted line that is NOT a line of symmetry? <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Symmetrical-Shape-Example-1.svg\" alt=\"A square with a diagonal dashed line running from the top left corner to the bottom right corner.\" width=\"200\" height=\"200\" class=\"alignnone size-full wp-image-287375\"  role=\"img\" \/><\/div><div class=\"PQ\"  id=\"PQ-3-2\"><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Symmetrical-Shape-Example-2.svg\" alt=\"A trapezoid with a dashed vertical line dividing it into two symmetrical halves.\" width=\"269.25\" height=\"164.25\" class=\"alignnone size-full wp-image-287378\"  role=\"img\" \/><\/div><div class=\"PQ\"  id=\"PQ-3-3\"><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Symmetrical-Shape-Example-3.svg\" alt=\"A regular hexagon is shown with a dashed horizontal line dividing it into two equal halves.\" width=\"239.25\" height=\"176.25\" class=\"alignnone size-full wp-image-287381\"  role=\"img\" \/><\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-4\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Symmetrical-Shape-Example-4.svg\" alt=\"A black curved line shaped like an &quot;S&quot; intersects a diagonal dashed line on a white background.\" width=\"200\" height=\"200\" class=\"alignnone size-full wp-image-287384\"  role=\"img\" \/><\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>A line of symmetry splits a shape in half, creating two identical shapes. The two halves of the <em>S<\/em> shown are not identical. Therefore, the dotted line in Choice D is not a line of symmetry.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nKate is a graphic designer and is creating a logo with the letter <em>H<\/em>. She needs to identify its lines of symmetry so she can arrange the logo with precision. How many lines of symmetry are in the letter <em>H<\/em>?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">1<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-2\">2<\/div><div class=\"PQ\"  id=\"PQ-4-3\">4<\/div><div class=\"PQ\"  id=\"PQ-4-4\">8<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The letter <em>H<\/em> contains two lines of symmetry: a vertical and a horizontal line of symmetry.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Symmetrical-H.svg\" alt=\"A gray, capital letter H shape with vertical and horizontal dashed arrows indicating symmetry axes.\" width=\"170\" height=\"170\" class=\"aligncenter size-full wp-image-287372\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nJuan is learning about symmetry in his math class. For homework, his teacher tells the class to find examples of objects that have a point of symmetry. The next day in class, Juan says he found four objects with a point of symmetry: the letter <em>A<\/em>, a king of hearts playing card, an hourglass, and a plate. His teacher tells him that all his objects have a point of symmetry except for one. Which of Juan\u2019s objects does not have a point of symmetry? <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-5-1\">The letter <em>A<\/em><\/div><div class=\"PQ\"  id=\"PQ-5-2\">A king of hearts playing card<\/div><div class=\"PQ\"  id=\"PQ-5-3\">An hourglass <\/div><div class=\"PQ\"  id=\"PQ-5-4\">A circular plate <\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>Point symmetry occurs when every part of an image has a matching part that is the same distance from the central point but in the opposite direction. The letter <em>A<\/em> does not have an origin point that divides the figure to create two matching parts in opposite directions. The rest of the objects listed do have point symmetry.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/geometry\/\">Return to Geometry Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Geometry Videos<\/p>\n","protected":false},"author":1,"featured_media":91030,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":{"0":"post-37074","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-math-advertising-group","7":"page_category-shape-videos","8":"page_type-video","9":"content_type-practice-questions","10":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/37074","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=37074"}],"version-history":[{"count":6,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/37074\/revisions"}],"predecessor-version":[{"id":246805,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/37074\/revisions\/246805"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/91030"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=37074"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}