prove that the quadrilateral formed by joining the mid points of the sides in an order of any quadrilater is a parallelogram
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Proof: Let ABCD be a quadrilateral and length of its side AB is 2a. ... Clearly, the diagonals JL and MK of the quadrilateral JKLM bisect each other at ((a + b + d)/2, (c + e)/2). Hence, the quadrilateral JKLM is a parallelogram. Proved.
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