In the given figure, which property of congruence can be used to prove that $△ A B C ≅ △ C D A ?$

SAS

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ASA

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RHS

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SSS

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Solution

The correct option is C
RHS

In $△ A B C$ and $△ C D A,$

$A C = C A$ [Common side]

$A B = C D$ [Given]

Also, $∠ A C B = ∠ C A D = 90^{\circ}$ [Given]

Therefore, $△ A B C ≅ △ C D A$ [by $R H S$ congruence condition]

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