to verify that the quadrilateral obtained by joining the mid- point of a quadrilateral is a parallelogram
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Step-by-step explanation:
ΔPQS exactly covers ΔSQR. Therefore, ΔPQS is congruent to ΔSQR and so, PQ = SR and PS = QR, i. e., two pairs of opposite sides are equal. Hence, PQRS is a parallelogram. The quadrilateral formed by joining the midpoints of the sides of a quadrilateral is a parallelogram.
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