MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

SAS Criteria for Congruency

ABCD is a qua...

Question

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

Open in App

Solution

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

Suggest Corrections

thumbs-up

0

Similar questions

Q. 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

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

Q. 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

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

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Criteria for Congruency

MATHEMATICS

Watch in App

explore_more_icon

Explore more

SAS Criteria for Congruency

Standard VII Mathematics

Join BYJU'S Learning Program

CrossIcon