Question

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 1

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.