In a quadrilateral $A B C D$ , $A B = A D$ and $C B = C D$ , then check whether $A C$ bisects angle $B A D$ is true/false.

True

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False

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Solution

The correct option is A True
$I n △ A D C & △ A B C, A D = A B & D C = B C (g i v e n) A C i s c o m m o n s i d e . S o △ A D C ≅ △ A B C (B y S S S r u l e o f c o n g r u e n c y) S o ∠ D A C = ∠ B A C T h e r e f o r e w e c a n s a y t h a t A C b i s e c t s ∠ B A D .$

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