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 . Dont spam otherwise you will be reported.
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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.
i.e 1:1
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