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In ∆ ABC and ∆ DEF, if AB = DE, AC = EF and BC = DF, then which of the following is true based on SSC theorem?
Question

In ∆ ABC and ∆ DEF, if AB = DE, AC = EF and BC = DF, then which of the following is true based on SSC theorem?

A.

∆ ABC ≅ ∆EDF

B.

∆ ABC ≅ ∆FDE

C.

∆ ABC ≅ ∆ DEF

D.

∆ABC ≅ ∆ EFD

Correct option is A

Given: 

In ΔABC and ΔDEF

AB = DE

AC = EF 

BC = DF 

Formula Used: 
The SSS congruence criterion states that if three sides of one triangle are respectively equal to three sides of another triangle, then the two triangles are congruent.

Solution:

AB = DE

AC = EF 

BC = DF

By the SSS Congruence Theorem,

∆ ABC ≅ ∆EDF

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