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Points \(P\) and \(Q\) have been taken on opposite sides \(AB\) and \(CD\), respectively of a parallelogram \(ABCD\) such that \(AP = CQ\). Show that \(AC\) and \(PQ\) bisect each other.
 
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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.