Scale factor lab

<p>In quadrilateral \(ABCD\), \(P\), \(Q\), \(R\) and \(S\) are on \(AD\), \(BD\), \(BC\) and \(AC\), respectively, such that quadrilateral \(PQRS\) is a parallelogram. Given that&nbsp;\(AP : PD = BQ : QD = 3 : 1\), prove that</p>
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<ol class="i-list"><li data-list-item-id="item-i" data-list-item-path="item-i"><div class="list-item-paragraph">\(AS : SC = BR : RC = 3 : 1\), and</div></li><li data-list-item-id="item-ii" data-list-item-path="item-ii"><div class="list-item-paragraph">\(PS = QR = \frac{3}{4}DC\).</div></li></ol>

In quadrilateral \(ABCD\), \(P\), \(Q\), \(R\) and \(S\) are on \(AD\), \(BD\), \(BC\) and \(AC\), respectively, such that quadrilateral \(PQRS\) is a parallelogram. Given that \(AP : PD = BQ : QD = 3 : 1\), prove that

Proofs in Plane Geometry - Similarity

Proofs in Plane Geometry - Similarity

Video Solution:

Solution:

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