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SAS Criteria for Congruency

Question 2 iA...

Question

Question 2 (i)
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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Similar questions

Q. 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

Q. Question 2 (i)
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

Q. Question 2 (iii)
ABCD is a quadrilateral in which AD = BC and

∠ D A B = ∠ C B A

(See the given figure). Prove that

∠ A B D = ∠ B A C .

Q. Question 2 (ii)
ABCD is a quadrilateral in which

A D = B C a n d ∠ D A B = ∠ C B A

(See the given figure). Prove that
BD = AC

A B C D

is quadrilateral in which

A D = B C

∠ D A B = ∠ C B A

. Prove that
(i)

Δ A B D = Δ B A C

B D = A C

∠ A B D = ∠ B A C

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SAS Criteria for Congruency

Standard VII Mathematics

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