Question

In similar triangles,
1. The corresponding angles are equal.
2. The corresponding sides are always equal.
3. The corresponding sides are always proportional.

• A. Only 1 is true.
• B. Only 1 & 3 are true.
• C. Only 1 & 2 are true.
• D. Only 3 is true.

Answer 1

The correct option is B Only 1 & 3 are true.

If $\Delta \text{ABC}$ and $\Delta \text{PQR}$ are similar, then:
$\angle A=\angle P,\angle B=\angle Qand\angle C=\angle R$
and
$\frac{PQ}{AB}=\frac{QR}{BC}=\frac{PR}{AC}$

So, if two tringles are similar, the corresponding angles are equal and the corresponding sides are proportional.