question_answer

The middle points of the parallel sides AB and CD of a parallelogram ABCD are P and Q, respectively. If AQ and CP divide the diagonal BD into three parts BX, XY and YD, then which one of the following is correct?

A)  \[BX\ne XY\ne YD\]

B)  \[BX=YD\ne XY\]

C)  \[BX=XY=YD\]

D)  \[XY=2BX\]

Correct Answer: C

Solution :

By properties of parallelogram BX = XY = YD