Question

If, side DE of $△$DEF is equal to side BA of $△$BAC. Then,

• A. $△$BAC $\cong △$DEF by ASA criteria
• B. $△$BAC $\cong △$DEF by SAS criteria
• C. $△$BAC $\cong △$DEF by RHS criteria
• D. $△$BAC $\cong △$DEF by SSS criteria

Answer 1

The correct option is B $△$BAC $\cong △$DEF by SAS criteria

Consider $△$BAC and $△$DEF
side CB = side FD = 3cm (given)
$\angle$CBA = $\angle$FDE = 50°(given)
and, BA = DE = 5cm (Given)

So, by SAS citerion for congruency of triangles, $△$BAC $\cong △$DEF