ABCD is a parallelogram whose diagonals AC and BD intersect at O.A line through O intersects AB at P and DC at Q. Prove that ar(△POA)=ar(△QOC).

ABCD is a parallelogram whose diagonals AC and BD intersect at O.A lin

1.	ABCD is a parallelogram whose diagonals AC and BD intersect at O.A line through O intersects AB at P and DC at Q. Prove that ar(△POA)=ar(△QOC).
Answer» ABCD is a parallelogram whose diagonals AC and BD intersect at O.A line through O intersects AB at P and DC at Q. Prove that $a r (△ P O A) = a r (△ Q O C) .$