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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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