In the given figure AD is the bisector of $∠$ A and AB = AC. Then $△$ ACD, $△$ ABD are congruent by which criterion?

SSS

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SAS

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ASA

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None of these

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Solution

The correct option is B
SAS

$∠ B A D = ∠ C A D$ [AD is the bisector of $∠ A$ ]

AD is the common side

AB = AC [Given]

The triangles are congruent by SAS congruence rule.

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