Question

If in two triangles, corresponding angles are _______ and their corresponding sides are in the ______ratio and hence the two triangles are similar.

• A. equal, same
• B. unequal, same
• C. equal, different
• D. unequal, different

Answer 1

The correct option is A equal, same

Let $ABC$ and $DEF$ be two triangles

Here, $\angle A=\angle D$

$\angle B=\angle E$

and $\angle C=\angle F$

That is, corresponding angles are equal

And their corresponding sides are in the same ratio i.e., $\frac{AB}{DE}=\frac{BC}{EF}=\frac{CA}{FD}$

Hence the two triangles are similar.