Question

In the figure,ABCD is a parallelogram and P ,Q are the point on the diagonal BD such that BQ = DP , show that APCQ is a parallelogram.

Answer 1

line aq is parallel to pc and line ac is parallel to pq

and thus even the inert figure in the parallelogram abcd is a parallelogram as

it follows the rule of opposite sides of a parallelogram are parallel

Answer 2

line aq is parallel to pc and line ac is parallel to pq

and thus even the inert figure in the parallelogram abcd is a parallelogram as

it follows the rule of opposite sides of a parallelogram are parallel