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 =

1/3 BC. Prove that AQCP is a parallelogram.​

Answer 1

Step-by-step explanation:

ABCD is a parallelogram.

AD=BC and AD∥BC.

3

1

AD=

3

1

BC 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.