MyQuestionIcon

1

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

SSS Criteria for Congruency

In the given ...

Question

In the given figure, AB = CF, EF = BD and $∠$ AFE = $∠$ DBC. Then $△$ AFE is congruent to $△$ CBD by which criterion?

A

SAS

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

SSS

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

ASA

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
SAS

In the given figure,
AB = CF

AB + BF = CF + BF [Adding BF on both the sides]

AF = CB

EF = BD [Given]

$∠ A F E = ∠ D B C$ [Given]

By SAS, the two triangles are congruent.

Suggest Corrections

thumbs-up

1

Similar questions

In the given figure, AB = CF, EF = BD and $∠$ AFE = $∠$ DBC. Then $△$ AFE is congruent to $△$ CBD by which criterion?

In the given figure it is given that AB = CF, EF = BD and $∠$ AFE = $∠$ DBC. Then $△$ AFE is congruent to $△$ CBD by which criterion?

In the given figure it is given that AB = CF, EF = BD and $∠$ AFE = $∠$ DBC. Then by which criterion $△ A F E ≅ △ C B D$ ?

Q. In the given figure, AB = CF, EF = BD

∠ A F E = ∠ D B C

Δ A F E = Δ C B D

In the given figure, AB = CF, EF = BD, and $∠$ AFE = $∠$ DBC.
Is $△ A F E ≅ △ C B D$ ? If yes, then by which criterion?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Criteria for Congruency

MATHEMATICS

Watch in App

explore_more_icon

Explore more

SSS Criteria for Congruency

Standard VII Mathematics

Join BYJU'S Learning Program

CrossIcon