the vertices of a quadrilateral are (3,-2) , (3,4), (1,8) and (7,4) prove that the line joining the mid point of the side of a quadrilateral in the same order from a parallelogram
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as the midpoint of (1,8) and (3,4) is (2,6) and midpoint of (3,4) and (3,-2) is (3,1) and midpoint of (7,4) and (3,-2) is (5,1) and the midpoint of (7,4) and (1,8) is (4,6)the distance between (3,1)and (5,1)is 2 the distance between (2,6)and (4,6) is 2 the line joining (2,6) and (4,6)is parallel to the line joining (3,1) and (5,1)and they have equal length it forms a quadrilateral having one pair of opposite sides equal and parallel so the quadrilateral is a parallelogram
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