Question

to verify that the quadrilateral obtained by joining the mid- point of a quadrilateral is a parallelogram​

Answer 1

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.