Given that $□ A C B D$ is a kite. By which congruence criterion are the triangles $A C B$ and $A D B$ congruent?

SAS

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SSS

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RHS

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ASA

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Solution

The correct option is B SSS
In the $Δ A B C$ and $Δ A B D$ ,
$A C = A D$ (Given)
$C B = D B$ (Given)
$A B$ is the common side.
$\Rightarrow Δ A B C ≅ Δ A B D$ [SSS congruence].
Thus, by SSS congruence rule, the two triangles ( $A B C$ and $A B D$ ) are congruent.

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