Question

10. In the given figure,
(i) If AB = BC, then M is a mid point of AB and N is a mid point of BC, then show that AM = NC.
(ii) If BM = BN, then M is a mid point of AB and N is a mid point of BC, then show that AB = BC.


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Answer 1

Answer:

M is the mid-point of AB and N is the mid point of BC.

So, AM=MB and BN = NC

BM=BN

=> 2BM = 2BN

=> BM + BM = BN +BN

=> BM + AM = BN + NC

=> AB = BC