Q. 204.5( 2 Votes )

The line segments

Answer :


In the given quadrilateral ABCD


P, Q, R, S are the midpoints of the sides AB, BC, CD and AD respectively.


Construction: - Join AC


In Δ ABC and Δ ADC


P and Q are midpoints of AB and CB


S and R are midpoints of AD and DC


So by Mid Point Theorem


PQ AC and PQ = 1/2 AC………….1


And SR AC and SR = 1/2 AC………………2


From 1 and 2


PQ SR and PQ = SR


Since a pair of opposite side is equal (= ) and parallel ()


PQRS is a parallelogram

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