\( A B C D \) is a quadrilateral in which \( A D=B C \). If \( P, Q, R, S \) be the midpoints of...

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\( A B C D \) is a quadrilateral in which \( A D=B C \). If \( P, Q, R, S \) be the midpoints of \( A B, A C, C D \) and \( B D \) respectively, show that \( P Q R S \) is a rhombus.
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