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The given figure shows parallelogram ABC...

The given figure shows parallelogram ABCD. Points M and N lie in diagonal BD such that DM=BN
.
Prove that:
(i) `DeltaDMCcong DeltaBNA` and so CM=AN.
(ii) `DeltaAMDcongDeltaCNB` and so `AM=CN`.
(iii) ANCM is a parallelogram.

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