Question

To show that the quadrilateral formed by joining the mid points of the sides of a quadrilateral is a parallelogram.

Make yourself figure




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Answer 1

Answer:

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Answer 2

Answer:

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.