Question

X is the mid point of side qr of a parallelogram such that qpx =spx prove that ps =2 rs

Answer 1

Step-by-step explanation:

Suppose XY and diagonal QS intersect each other at point O.

Since X and Y are the midpoints of PS and QR. This means XY is parallel to PQ.

Now in triangle PQS, XO is parallel to PQ And X is midpoint of PS. By applying midpoint theorem on triangle PQS, O becomes midpoint of QS.

So, XY devides QS in the ration 1:1.

So, correct answer is option B.