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171 lines
7.0 KiB
HTML
171 lines
7.0 KiB
HTML
<!DOCTYPE html>
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<html lang="en"><!-- #BeginTemplate "/Templates/Main.dwt" --><!-- DW6 -->
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<!-- Mirrored from www.mathsisfun.com/activity/shapes-symmetry.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:43:44 GMT -->
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<meta http-equiv="content-type" content="text/html; charset=utf-8">
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<!-- #BeginEditable "doctitle" -->
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<title>Activity: Symmetry of Shapes</title>
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<meta name="Description" content="Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.">
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<article id="content" role="main">
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<!-- #BeginEditable "Body" -->
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<h1 class="center">Activity: Symmetry of Shapes</h1>
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<table border="0">
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<tbody>
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<tr>
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<td><a href="shapes-page.html"><img src="images/shapes-page-thumb.gif" alt="shapes page thumb" height="204" width="150" border="0"></a></td>
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<td> </td>
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<td>
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<p class="center larger">Let's find symmetry in shapes!</p>
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<p>You will need some shapes. You could buy some, or make your own like this:</p>
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<ul>
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<li>Print out <a href="shapes-page.html">Shapes (In Color)</a> or <a href="shapes-page-bw.html">Shapes (black and white)</a> and cut them out.</li>
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</ul></td>
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</tr>
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</tbody></table>
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<h2>Folding Test</h2>
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<p>You can find if a shape has a <a href="../geometry/symmetry-line-plane-shapes.html">Line of Symmetry</a> by<b> folding it</b>.</p>
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<div class="def">
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<p>When the folded part sits perfectly on top (all edges matching), then the fold line is a <b>Line of Symmetry</b>.</p>
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</div>
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<p>Here I have folded a rectangle one way, and <b>it didn't work</b>.</p>
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<p class="center"><img src="../geometry/images/symmetry-folding-no.svg" alt="symmetry folding no" style="max-width:100%"><br>
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<span class="larger">So this is <b>not</b> a Line of Symmetry</span></p>
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<p>But when I try it this way, it <b>does work</b> (the folded part sits perfectly on top, all edges matching):</p>
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<p class="center"><img src="../geometry/images/symmetry-folding-yes.svg" alt="symmetry folding yes" style="max-width:100%"><br>
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<span class="larger">So this <b>is</b> a Line of Symmetry</span></p>
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<h2>An Octagon</h2>
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<p>Let us try the Octagon (the 8-sided shape)</p>
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<p>Is this a Line of Symmetry?</p>
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<p class="center"><img src="images/octagon-symmetry-1.jpg" alt="octagon maybe symmetry" height="153" width="150"></p>
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<p>Let's try folding it:</p>
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<p class="center"><img src="images/octagon-symmetry-2.jpg" alt="octagon yes symmetry" height="150" width="165"></p>
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<p class="center">Yes! When folded over, the edges match perfectly</p>
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<p>So let us draw it on:</p>
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<p class="center"><img src="images/octagon-symmetry-3.jpg" alt="octagon draw line symmetry" height="150" width="151"></p>
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<p>I found another way too::</p>
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<table align="center" border="0">
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<tbody>
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<tr>
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<td><img src="images/octagon-symmetry-4.jpg" alt="octagon try" height="150" width="151"></td>
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<td><img src="images/octagon-symmetry-5.jpg" alt="octagon works" height="150" width="159"></td>
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</tr>
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<tr align="center">
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<td>Tried this</td>
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<td>It works!</td>
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</tr>
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</tbody></table>
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<p>So let us draw it on, too:</p>
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<p class="center"><img src="images/octagon-symmetry-6.jpg" alt="octagon draw" height="150" width="154"></p>
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<p>In fact I found <span class="large"><b>8</b> Lines of Symmetry</span>:</p>
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<p class="center"><img src="images/octagon-symmetry-7.jpg" alt="octagon 8 lines symmetry" height="150" width="154"></p>
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<h2>Triangles</h2>
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<table align="center" border="0">
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<tbody>
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<tr>
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<td>How about this Triangle?</td>
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<td><img src="images/triangle-symmetry-1.jpg" alt="triangle" height="93" width="182"></td>
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</tr>
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<tr>
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<td>I tried this fold, but it didn't work:</td>
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<td><img src="images/triangle-symmetry-2.jpg" alt="triangle not symmetry" height="100" width="182"></td>
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</tr>
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</tbody></table>
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<p class="center">Can you find <b>any</b> Lines of Symmetry in that triangle? I couldn't.</p>
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<p class="center">But how about other types of triangle?</p>
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<h2>Your Turn</h2>
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<p class="center80">Now it is <b>your turn</b> ... pick a shape and find its Lines of Symmetry.</p>
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<p class="center80">In fact, <b>try them all!</b> See what you discover.</p>
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<p> </p>
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<p> </p>
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<table border="0">
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<tbody>
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<tr>
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<td>
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<h2>Final Note: The Circle</h2>
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<p>How about the <b>Circle</b>? Did you find any Lines of Symmetry?</p>
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<p>In fact the circle has<b> infinite</b> Lines of Symmetry, how about that!</p></td>
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<td> </td>
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<td><img src="../geometry/images/circle-symmetry.gif" alt="circle symmetry" height="114" width="132"></td>
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</tr>
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</tbody></table>
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<p class="right" align="right"> </p>
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<p> </p>
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<div class="related">
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<a href="../geometry/symmetry-line-plane-shapes.html">Line of Symmetry</a>
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<a href="../geometry/index.html">Geometry Index</a>
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<a href="index.html">Activity Index</a>
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</div>
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Copyright © 2020 MathsIsFun.com
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