In quadrilateral $A C B D, A B$ is a diagonal. If $A C = A D$ and $A B$ bisects $∠ A$ , by which congruence property is $△ A C B ≃ △ A D B$ ?

S.A.S

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A.S.A

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S.S.S

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R.H.S

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Solution

The correct option is B S.A.S
In $Δ A B C$ and $Δ A B D$
$A C = A D$
$∠ D A B = ∠ B A C$
$A B = A B$ (common)
$∴$ $B y S A S Δ A B C ≃ Δ A B D$

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