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165 lines
6.8 KiB
HTML
165 lines
6.8 KiB
HTML
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<title>Congruent</title>
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<meta name="description" content="If one shape can become another using Turns, Flips and/or Slides, then the shapes are Congruent. Congruent or Similar? The two shapes ... " />
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<h1 align="center">Congruent</h1>
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<div class="def">
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<p>If one shape can become another using Turns, Flips and/or Slides, then the shapes are <b>Congruent</b>: <br />
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</p>
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</div>
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<table border="0" align="center">
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<tr>
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<th><a href="rotation.html">Rotation</a></th>
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<td align="center"><img src="images/rotation-2d.svg" alt="rotation on graph" /></td>
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<th>Turn!</th>
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<th><a href="reflection.html">Reflection</a></th>
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<td align="center"><img src="images/reflect-graph.svg" alt="reflection on graph" /></td>
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<th>Flip!</th>
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<th><a href="translation.html">Translation</a></th>
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<td align="center"><img src="images/translation.svg" alt="translation on graph" /></td>
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<th>Slide!</th>
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<br />
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<td><img src="../images/style/right-arrow.gif" width="46" height="46" alt="right arrow" /></td>
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<td>After any of those <a href="transformations.html">transformations</a> (turn, flip or slide), <br />
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the shape still has<b> the same size</b>,<b> area</b>,<b> angles </b>and<b> line lengths. </b></td>
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</tr>
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</table>
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<h2>Examples:</h2>
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<p>Here are 3 examples of shapes that are <b>Congruent:</b></p> <table border="0" align="center" cellpadding="5">
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<tr align="center">
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<td><img src="images/congruent-turn.svg" style="max-width: 100%;" alt="congruent turn" /></td>
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<td><img src="images/congruent-flip.svg" style="max-width: 100%;" alt="congruent flip" /></td>
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<td><img src="images/congruent-flip-turn.svg" style="max-width: 100%;" alt="congruent flip and turn" /></td>
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</tr>
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<tr align="center">
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<td><b>Congruent</b><br>
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(Rotated and Moved)</td>
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<td><b>Congruent</b><br>
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(Reflected and Moved)</td>
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<td><b>Congruent</b><br>
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(Reflected, Rotated and Moved)</td>
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</tr>
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</table>
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<h2>Congruent or Similar?</h2>
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<p>The two shapes need to be the <b>same size</b> to be congruent. </p>
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<p>When we need to<b> resize</b> one shape to make it the same as the other, the shapes are <a href="similar.html">Similar</a>.</p>
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<div class="simple"><table border="0" align="center">
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<tr>
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<th>When we ...</th>
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<th> </th>
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<th>Then the shapes are ...</th>
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</tr>
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<tr>
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<td>... only Rotate, Reflect and/or Translate </td>
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<td><img src="../images/style/right-arrow.gif" width="46" height="46" alt="right arrow" /></td>
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<td>
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<h3 align="center">Congruent</h3>
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</td>
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</tr>
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<tr>
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<td>... also need to <b>Resize</b></td>
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<td><img src="../images/style/right-arrow.gif" width="46" height="46" alt="right arrow" /></td>
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<td>
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<h3 align="center">Similar</h3>
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</td>
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</tr>
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</table></div>
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<br />
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<div class="words">
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<p><b><i>Congruent?</i></b> Why such a funny word that basically means "equal"? Maybe because they are only "equal" when placed on top of each other. Anyway it comes from Latin <i>congruere</i>, "to agree". So the shapes "agree".</p>
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</div>
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<p> </p>
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<div class="questions">
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<script type="text/javascript">getQ(1770, 779, 780, 1769, 3270, 3271, 7498, 7499, 7500, 7501);</script>
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</div>
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<div class="related">
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<a href="similar.html">Similar</a>
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<a href="congruent-angles.html">Congruent Angles</a>
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<a href="triangles-congruent-finding.html">Congruent Triangles</a>
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<a href="transformations.html">Transformations</a>
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<a href="rotation.html">Rotation</a>
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<a href="reflection.html">Reflection</a>
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<a href="translation.html">Translation</a>
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<a href="resizing.html">Resizing</a>
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<a href="symmetry.html">Symmetry Index</a>
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<a href="symmetry-artist.html">Symmetry Artist</a>
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<a href="congruent-angles.html">Congruent Angles</a>
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<a href="index.html">Geometry Index</a>
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</div>
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