Question

In a triangle $ABC$ 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)

$AC=DE$

In $△ABC$ and $△DEF$,
$\angle A=\angle D$ ....(Given)
$AB=FD$ ....(Given)
and $△ABC\cong △DFE$ ....(SAS rule)
It is possible, if corresponding sides are equal, $AC=ED$