https://peda.net/id/1bd1fdef2cf 2022-09-05T12:42:41+03:00 https://peda.net/:static/533/peda.net.logo.bg.svg <div class="license">Tämän sivun lisenssi <a rel="license" href="https://peda.net/info">Peda.net-yleislisenssi</a></div> https://peda.net/id/1bd2530e2cf 2020-11-23T13:38:13+02:00 <div class="eoppi-summary"> <h3><b>Reflection with respect to a point</b></h3> When <b>reflecting a figure with respect to a point</b>, the corresponding points of the figure are<br/> <ul> <li>on the <b>same line</b> that passes through the point.</li> <li>at an <b>equal distance</b> from the reflection point.</li> </ul> </div> <p>A pattern <b>symmetrical with respect to a point</b> is reflected symmetrically through a reflection point. If the reflection point is located inside the pattern, it is called the pattern's <b>center of symmetry</b><em><em>.</em></em> <br/> <br/> </p> <span class="center"><a href="https://peda.net/qis/2022-2023/mathematics/matematiikka-8/oit/6pps/pps/s2k0#top" title="6_center-of-symmetry.png"><img src="https://peda.net/qis/2022-2023/mathematics/matematiikka-8/oit/6pps/pps/s2k0:file/photo/cc1adbca2fb098a6ac4f329e04d30d34fdac5ad2/6_center-of-symmetry.png" alt="" title="the center of symmetry" class="inline" loading="lazy"/></a></span><br/> <h3><b>Example 1</b></h3> <p class="p1"><span lang="EN-US">By reflecting the triangle</span> [[$ ABC $]]​ <span lang="EN-US">with respect to the point</span> [[$ P $]],​ <span lang="EN-US">a reflected triangle</span> [[$ A'B'C' $]]​ <span lang="EN-US">is obtained. This triangle is similar to the original triangle.<br/> </span><br/> <a href="https://peda.net/qis/2022-2023/mathematics/matematiikka-8/oit/6pps/pps/s2k02#top" title="6_reflection-point.png"><img src="https://peda.net/qis/2022-2023/mathematics/matematiikka-8/oit/6pps/pps/s2k02:file/photo/b9f0380a6c75c3206917e3a52f40184e7357445e/6_reflection-point.png" alt="" title="Example 1" class="inline" loading="lazy"/></a></p> <h3><b>Example 2</b></h3> <p><span>Below, you can see examples of figures that are symmetric with respect to a point. Their centers of symmetry are marked in red.</span></p> <p class="p1"><br/> <br/> <span class="medium"><a href="https://peda.net/qis/2022-2023/mathematics/matematiikka-8/oit/6pps/pps/s2k03#top" title="Skärmavbild 2018-10-31 kl. 09.16.17.png"><img src="https://peda.net/qis/2022-2023/mathematics/matematiikka-8/oit/6pps/pps/s2k03:file/photo/04d75e3383c360349cd91ec7745d69ddff8b1ae3/Ska%CC%88rmavbild%202018-10-31%20kl.%2009.16.17.png" alt="" title="Example 2" class="inline" loading="lazy"/></a></span></p> 2022-09-05T12:42:41+03:00 https://peda.net/id/1bd3d0ac2cf 2020-10-02T13:47:29+03:00 <a href="https://peda.net/id/1bd677182cf" rel="noopener" target="_blank">Basic exercises<br/> </a><a href="https://peda.net/id/1bd83e8a2cf" rel="noopener" target="_blank">Applied exercises</a> 2022-09-05T12:42:41+03:00