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Question

The following figure shows a triangle ABC in which AB=AC.M is a point on AB and N is a point on AC, such that BM=CN.
Prove that :
AM=AN
ΔAMCΔANB
BN=CM
ΔBMCΔCNB

Solution
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1114622_1201837_ans_4d5b8d9ce4e54c25905c388a479cb836.jpg

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Similar Questions
Q1
The following figure shows a triangle ABC in which AB=AC, M is a point on AB and N is a point on AC such that BM=CN. Prove that :
i) AM=AN
ii) ΔAMCΔANB
iii) BN=CM
iv) ΔBMCΔCNB
1134280_149840c8bfae458f9ffc99258c8f1967.png
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Q2
A triangle ABC in which AB=AC, M is a point on AB and N is a point on AC such that if BM=CN then AM=AN.
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Q3

The given figure shows a triangle ABC in which AB=AC. M is a point on AB and N is a point on AC such that BM=CN. Hence, BN=CM.

If the above statement is true, then mention answer as 1, else mention 0 if false.


195365_798852983316419b95e99c056d83948d.png
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Q4

The given figure shows a triangle ABC in which AB = AC. M is a point on AB and N is a point on AC such that BM = CN.

Hence,AM = AN

State true or false.


195365_798852983316419b95e99c056d83948d.png
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Q5
In △ABC, M and N are points on AB and AC respectively such that BM = CN. If ∠B = ∠C then show that MN∥BC.
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