In the adjoining figure ABCD is a parallelogram, ABM is a line segment and E is the mid-point of BC.

In the adjoining figure ABCD is a parallelogram, ABM is a line segment and E is the mid-point of BC. Prove that : (i) `DeltaDCE cong DeltaMBe` (ii) `AB = BM` (iii) `AM=2DC`

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