Question -
Answer -
Given:
(1) Diagonals AC and BD of a parallelogram ABCD intersect at point O.
(2) A line through O intersects AB at P point.
(3) A line through O intersects DC at Q point.
To find: Area of (ΔPOA) = Area of (ΔQOC)
Proof:
From ÄPOA and ÄQOC we get that
= 
OA = OC
= 
So, by ASA congruence criterion, we have
So
Area (ÄPOA) = Area (ÄQOC)
Hence it is proved that
