Question

Given above are two triangles $△$ABC and $△$DEF. Which of the following statements is correct?

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

Answer 1

The correct option is D $△$ABC $\cong △$DEF by ASA criteria

Consider $△$ABC and $△$DEF
$\angle$BCA = $\angle$EFD = 40°
side CA = side FD = 7 cm
$\angle$CAB = $\angle$FDE = 75°

$\therefore$ $△$ABC $\cong △$DEF by ASA criterion for congruency of triangles.