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\(P\) and \(Q\) are points on opposite sides \(AD\) and \(BC\) of a parallelogram \(ABCD\) such that \(PQ\) passes through the point of intersection \(O\) of its diagonals \(AC\) and \(BD\). Show that \(PQ\) is bisected at \(O\).
 
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This is a self assessment task. Solve this question and assess the solution steps after the completion of test on your own.