Question

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

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

Answer 1

The correct option is B AC $=$ DE

If a triangle has to be congruent by $SAS$ then two corresponding sides and the included angle of the triangles must be equal.

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

Now we need the other set of equal sides which is $AC$ and $DE$

$\therefore AC=DE$