Question

For $\Delta ABC$ and $\Delta DEF$, $\angle B=\angle D,\angle C=\angle F$ and $BC=DF$. Therefore which of the following is correct?

• A. $\Delta ABC\cong \Delta DEF$
• B. $\Delta BCA\cong \Delta DFE$
• C. $\Delta BCA\cong \Delta DEF$
• D. $\Delta ABC\cong \Delta DFE$

Answer 1

The correct option is B $\Delta BCA\cong \Delta DFE$

For $\Delta ABC$ and $\Delta DEF$, we have
$\angle B=\angle D,\angle C=\angle F$ .....Given

$BC=DF$ .....Given
Therefore, according to A.S.A condition for congruence,
$\Delta BCA\cong \Delta DFE$

Hence, option B is correct.