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SAS Criteria for Congruency

ABCD is a qua...

Question

ABCD is a quadrilateral in which AD = BC and $∠ D A B = ∠ C B A$ (See the given figure). Prove that
$Δ A B D ≅ Δ B A C$

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Solution

$I n Δ A B D a n d Δ B A C A D = B C (G i v e n) ∠ D A B = ∠ C B A (G i v e n) A B = B A (C o m m o n) ∴ Δ A B D ≅ Δ B A C (B y S A S c o n g r u e n c e r u l e)$

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∠ D A B = ∠ C B A

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