Question

In the figure, if $\frac{AB}{PQ}=\frac{AC}{PR}$, the which of the angle should be equal in measure to make the triangles similar by SAS similarity rule?

• A. $\angle A=\angle Q$
• B. $\angle A=\angle P$
• C. $\angle B=\angle Q$
• D. $\angle C=\angle R$

Answer 1

The correct option is B $\angle A=\angle P$

When two triangles are similar by the SAS rule, two corresponding sides are in the same ratio and the included angles are equal in measure.


Given: $\frac{AB}{PQ}=\frac{AC}{PR}$
Here, sides $AB$ and $AC$ form the angle $\angle A$ and sides $PQ$ and $PR$ form the angle $\angle P.$
So, $\angle A=\angle P$.

Option $\left(b\right)$ is correct.