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In a triangle PQR, D, E and F are the midpoints of sides PQ, PR and QR respectively. If G in a point on QR such that PG is perpendicular to QR, then prove that DEFG is a cyclic quadrilateral.

WXYA is a trapezium. If WZ ∥ XY and M is the mid-point of YZ, then prove that: Area of △ WXM = 1/2 area of trapezium WXYZ.