The line segments joining the midpoints of the adjacent sides of quadrilateral form ______.

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KollegeApply · Accepted Answer

The line segments joining the midpoints of the adjacent sides of quadrilateral form a parallelogram. Explanation: Let P, Q, R, S be midpoints of AB, BC, CD, DA. In triangles ABC and ADC, PQ and SR are each parallel to AC, so PQ || SR; similarly PS || QR. Thus opposite sides are parallel and PQRS is a parallelogram

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