Points P and Q have been taken on opposite sides AB and CD, respectively of a parallelogram ABCD such that AP=CQ. Show that AC and PQ bisect each other.

Points P and Q have been taken on opposite sides AB and CD, respective

1.	Points P and Q have been taken on opposite sides AB and CD, respectively of a parallelogram ABCD such that AP=CQ. Show that AC and PQ bisect each other.
Answer» Points $P$ and $Q$ have been taken on opposite sides $A B$ and $C D$ , respectively of a parallelogram $A B C D$ such that $A P = C Q$ . Show that $A C$ and $P Q$ bisect each other.