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SSS Criteria for Congruency

Question

In the given figure, $A B = D C$ and $B D = C A$ . Prove that $Δ A B C ≅ D C B$ .

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Solution

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Given $A B = C D$
$B D = C A$
In $△ A B C$ & $△ D C B$
$B C = B C$ (Common side)
$∴$ By $S S S$ congurency $△ A B C ≅ △ D C B$

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