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In triangles ABC and DEF, AB = FD and ∠A=∠D. The two triangles will be congruent by SAS axiom if :

  • a)
    BC = EF

  • b)
    AC = EF

  • c)
    AC = DE

  • d)
    BC = DE

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In triangles ABC and DEF, AB=FD and∠A=∠D. The two triangles wi...

The triangles ABC and DEF are
It is given that
AB = FD and ∠A = ∠D
For a triangle to be congruent from the SAS axiom two sides and included angle must be equal
For ∆ ABC ≅ ∆ DFE from SAS axiom we require AC = DE
Therefore, the two triangles will be congruent by the SAS axiom if AC = DE.
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Most Upvoted Answer
In triangles ABC and DEF, AB=FD and∠A=∠D. The two triangles wi...
BC = EF. The angles ∠ABC and ∠DEF are also congruent. Therefore, the triangles ABC and DEF are congruent by the Side-Angle-Side (SAS) congruence criterion.
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In triangles ABC and DEF, AB=FD and∠A=∠D. The two triangles wi...
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