ABCD is parallelogram. P is a point on AD such that AP = 1/3 AD and Q is a point on BC such that CQ = 1/2 BC. Prove that AQCP is a parallelogram.

ABCD is parallelogram. P is a point on AD such that AP = 1/3 AD and Q

1.	ABCD is parallelogram. P is a point on AD such that AP = 1/3 AD and Q is a point on BC such that CQ = 1/2 BC. Prove that AQCP is a parallelogram.
Answer» ABCD is a parallelogram.AD=BC and AD∥BC.31AD=31BC and AD∥BC.AP=CQ and AP∥CQ.Thus, APCQ is a parallelogram such that one pair of OPPOSITE side AP and CQ are parallel and equal.Hence, APCQ is a parallelogram.

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ABCD is parallelogram. P is a point on AD such that AP = 1/3 AD and Q is a point on BC such that CQ = 1/2 BC. Prove that AQCP is a parallelogram.​

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ABCD is parallelogram. P is a point on AD such that AP = 1/3 AD and Q is a point on BC such that CQ = 1/2 BC. Prove that AQCP is a parallelogram.