Scale factor lab

<p>In the diagram, \(DE\) is parallel to \(BC\) and \(EF\) is parallel to \(DC\). Prove that</p>
<div class="graph-block" data-graph-config="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" data-width="178" data-height="157" data-proportional style="width:178px;height:157px;max-width:100%;display:flow-root;margin:0 auto;--graph-width:178px;--graph-aspect:178 / 157;"></div>
<ol class="i-list"><li data-list-item-id="item-i" data-list-item-path="item-i"><div class="list-item-paragraph">\(AD^2 = AF \times AB\), and</div></li><li data-list-item-id="item-ii" data-list-item-path="item-ii"><div class="list-item-paragraph">\(DF \times AB = AD \times BD\).</div></li></ol>

In the diagram, \(DE\) is parallel to \(BC\) and \(EF\) is parallel to \(DC\). Prove that

Proofs in Plane Geometry - Similarity

Proofs in Plane Geometry - Similarity

Video Solution:

Solution:

Solution locked