Question

1. (\triangle abc) is similar to (\triangle pqr).

a) state the ratios of corresponding sides that are equal.
b) state the corresponding angles that are equal.

Explanation:

Step1: Recall similar - triangle property for side - ratios

For similar triangles $\triangle ABC$ and $\triangle PQR$, the ratios of corresponding sides are equal. If $AB$ corresponds to $PQ$, $BC$ corresponds to $QR$, and $AC$ corresponds to $PR$, then $\frac{AB}{PQ}=\frac{BC}{QR}=\frac{AC}{PR}$.

Step2: Recall similar - triangle property for angle - equality

For similar triangles, corresponding angles are equal. So, $\angle A=\angle P$, $\angle B=\angle Q$, and $\angle C=\angle R$.

Answer:

a) $\frac{AB}{PQ}=\frac{BC}{QR}=\frac{AC}{PR}$
b) $\angle A=\angle P$, $\angle B=\angle Q$, $\angle C=\angle R$