In the figure PQRS is a parallelogram and X, Y are the points on the diagonal QS, such that SX = QY. Prove that quadrilateral PYRX is a parallelogram.

Asked by Topperlearning User | 16th Aug, 2017, 03:09: PM

Expert Answer:



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OQ = OS         (diagonals of a parallelogram bisect each other)

QY = SX

 OQ - QY = OS - SX

OY = OX

In quadrilateral PXRYAO = OX

OX =OY

Thus, the diagonals of the quadrilateral

PXY are bisecting each other

PXRY is a parallelogram.

Answered by  | 16th Aug, 2017, 05:09: PM