Question

15. X, Y are the mid points of PQ and RS respectively, which are the opposite sides of a
parallelogram PQRS. Show that PXRY is a parallelogram.
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Answer 1

Answer:

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.

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