\( P \) and \( Q \) are points on opposite sides \( A D \) and \( B C \) of a parallelogram \( A...

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\( P \) and \( Q \) are points on opposite sides \( A D \) and \( B C \) of a parallelogram \( A B C D \), such that \( P Q \) passes through the point of intersection \( O \) of its diagonals \( A C \) and \( B D \). Show that \( P Q \) is bisected at \( O \).
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