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Theorems

In the given ...

Question

In the given figure, AB = BC. M and N are the mid points of AB and BC respectively. Which of the following is true?

A

AM = NC

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B

AM = BC

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C

BN = AB

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D

BN = BC

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Solution

The correct option is A AM = NC

AB = BC, AM = MB and BN = NC

AB = BC
AM + MB = BN + NC
AM + AM = CN + CN
2AM = 2 NC
AM = NC

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