Question

If $\Delta DEF\cong \Delta BCA$ , then the angle of $\Delta BCA$ that corresponds to $\angle E$ is _______ and side $FD$ corresponds to side ________.

• A. $\angle A$, $BC$
• B. $\angle B$, $AB$
• C. $\angle C$, $AB$
• D. Both $\angle C$​ and $\angle A$​, $BC$

Answer 1

The correct option is C

$\angle C$, $AB$

We know that if two triangles are congruent, then their corresponding parts are equal.

Since $\Delta DEF\cong \Delta BCA$, therefore $\angle E=\angle C$ and $FD=AB$.