ABCD is a parallelogram. P is a point on AD such that AP=13AD and Q is a point on BC such that CQ=13BC. Prove that AQCP is a parallelogram.

ABCD is a parallelogram. P is a point on AD such that AP=13AD and Q is

1.	ABCD is a parallelogram. P is a point on AD such that AP=13AD and Q is a point on BC such that CQ=13BC. Prove that AQCP is a parallelogram.
Answer» $A B C D$ is a parallelogram. $P$ is a point on $A D$ such that $A P = \frac{1}{3} A D$ and Q is a point on $B C$ such that $C Q = \frac{1}{3} B C$ . Prove that $A Q C P$ is a parallelogram.