Question

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

• A. BC $=$ EF
• B. AC $=$ DE
• C. AC $=$ EF
• D. BC $=$ DE

Answer 1

Answer: (B)

AC $=$ DE

For triangle to be congruent by $SAS$ axiom two of the sides and the included angle of the triangles must be equal.

Given $AB=DF$ and $\angle A=\angle D$

No for $△ABC\cong △DFE$ by $SAS$ axiom we need $AC=DE$

So option $B$ is correct.