Question

If two triangles are similar, then which of the following statement(s) is/are correct?

• A. Corresponding angles are equal.
• B. Ratio of corresponding angles are equal.
• C. Corresponding sides are equal.
• D. Ratio of corresponding sides are equal.

Answer 1

Answer: (A), (D)

The correct options are
A Corresponding angles are equal.
D Ratio of corresponding sides are equal.

We know that if two triangles are similar, then
(i) Corresponding angles are equal
(ii) Ratio of corresponding sides are equal

$\text{i.e, If}△ABC\sim △PQR$
$\Rightarrow \angle A=\angle P\angle B=\angle Q\angle C=\angle R$
$\text{also,}\frac{AB}{PQ}=\frac{BC}{QR}=\frac{CA}{RP}$