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In a parallelogram ABCD , two points M and N are taken on the diagonal BD such that BM=DN

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Q1
In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP=BQ. Show that APCQ is a parallelogram.
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Q2

In parallelogram $ ABCD$, two points $ P$ and $ Q$ are taken on diagonal $ BD$ such that $ DP = BQ$. Show that:

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