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SAS Criteria for Congruency

In the given ...

Question

$In the given parallelogram A B C D, Δ A B D ≅ Δ B C D .$

A

True

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B

False

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Solution

The correct option is B False
$Consider Δ A B D and Δ C D B, A B = C D (Opposite sides of parallelogram) A D = C B (Opposite sides of parallelogram) ∠ A B D = ∠ C D B (Alternate angles) . ∴ Δ A B D ≅ Δ C D B$
Hence, the given statement is false as the vertices are not given in corresponding sequence in question.

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