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1. \(ABCD\) is a parallelogram such that \(\angle BAD = 120^\circ\) and \(AC\) bisects \(\angle BAD\) show that \(ABCD\) is a rhombus.
2. In a parallelogram \(ABCD\), \(P\) and \(Q\) are the points on line \(DB\) such that \(PD = BQ\) show that \(APCQ\) is a parallelogram.
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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.
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