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State whether the following statement is true or false.
If AD is an altitude of an isosceles triangle ABC in which AB = AC, then AD bisects $∠ A .$

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True

False

answer is A.

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Detailed Solution

Given that AD is an altitude of an isosceles triangle ABC, where AB=AC.
Question Image

Consider

Thus, by RHS Congruence criteria:

We know that corresponding parts of congruent triangles are equal.

Thus, we can say that

A D bisects ∠ A .

Thus the given statement is true.
So, option (1) is correct.

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