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

SAS

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SSS

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ASA

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None of these

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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]

SAS: If any pair of corresponding sides and their included angles are equal in both triangles.

By SAS, the two triangles are congruent.

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Similar questions

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 $△ A F E ≅ △ C B D$ ?

∠ 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?

A B = C F, E F = B D

A F E = ∠ C B D

△ A F E = △ C B D

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