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SAS Criteria for Congruency

In ABC and ...

Question

In $△ A B C$ and $△ D E F$ , $∠ B = ∠ E, A B = D E, B C = E F$ . The two triangles are congruent under ............. axiom.

SSS

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AAA

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SAS

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ASA

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Solution

The correct option is B SAS
Two sides and included angle of $△ A B C$ and $△ D E F$ are equal.
Therefore the triangles are congruent by $S A S$ axiom.
Option $C$ is correct.

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Similar questions

△ A B C

△ D E F, A B = D E, B C = E F

∠ B = ∠ E

S S S

State true/false:

If in $Δ A B C$ and $Δ D E F$ , AB = DE, BC = DE, BC = EF and $∠ B = ∠ E$ , then both the triangles are congruent.

Δ A B C

∠ A = ∠ D

△

△

△^{s} A B C

D E F, A B ∥ D E; B C = E F

B C ∥ E F

A, B

C

D, E

F

△ A B C ≅ △ D E F

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