Question

In the figure given below, $\Delta BCA\cong \Delta BCD$. Corresponding angle to $\angle D$ is ...........

• A. $\angle B$
• B. $\angle C$
• C. $\angle D$
• D. $\angle A$

Answer 1

The correct option is D $\angle A$

Given $△BCA\cong △BCD$.

Then the corresponding parts will also be equal.

That is by CPCT rule, corresponding parts of congruent triangles are equal.

Then, $BC=BC$, $CA=CD$, $BA=BD$, $\angle B=\angle B$, $\angle C=\angle C$ and $\angle A=\angle D$.

Thus, $\angle A=\angle D$.

Hence, option $D$ is correct.