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Quadrilaterals

ABCD is a qua...

Question

$A B C D$ is a quadrilateral in which $A D = B C$ and $∠ D A B = ∠ C B A$ prove that
$△ A B D ≅ △ B A C$

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Solution

In quadrilateral $A B C D$

$Δ A B D ≅ Δ B A C$ (prove that)

solution

$A D = B C$ given
$∠ D A B = ∠ C B A$ (given)

$A B = A B$ (common)

SAS congurency

$Δ A B D ≃ Δ B A C$

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Similar questions

A B C D

A D = B C

∠ D A B = ∠ C B A

(i) △ A B D ≅ △ B A C

(i i) B D = A C

(i i i) ∠ A B D = ∠ B A C .

∠ D A B = ∠ C B A

∠ A B D = ∠ B A C .

$A B C D$ is a quadrilateral in which $A D = B C$ and $∠ D A B = ∠ C B A$ . Prove that $∠ A B D = ∠ B A C$ .

A B C D

A D = B C

∠ D A B = ∠ C B A

Δ A B D ≅ Δ B A C

B D = A C

∠ A B D = ∠ B A C

∠ D A B = ∠ C B A

∠ A B D = ∠ B A C .

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