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ABCD is a parallelogram. Two points P an...

ABCD is a parallelogram. Two points P and Q are taken on sides AD and BC respectively such that AP `1/3ADand CQ=1/3BC.` Prove that `square AQCP` is a parallelogram.

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To prove that quadrilateral AQCP is a parallelogram, we need to show that one pair of opposite sides is both equal and parallel. Let's follow the steps systematically. ### Step 1: Identify the points on the parallelogram Given that ABCD is a parallelogram, we have: - Points P and Q are located on sides AD and BC respectively. - It is given that \( AP = \frac{1}{3}AD \) and \( CQ = \frac{1}{3}BC \). ### Step 2: Establish the relationships between the sides ...
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