Question

If one angle of a triangle is equal to one angle of the other triangle and the sides including these angles are proportional, then the two triangles are similar.

• A. True
• B. False

Answer 1

The correct option is A

True

If one angle of a triangle is equal to one angle of the other triangle and the sides including these angles are proportional, then the two triangles are similar by SAS criteria.

In the above figure, triangle ABC is similar to triangle PQR as $\angle ABC$ is equal to $\angle PQR$ and also the sides including these angles are in proportional $(\frac{AB}{PQ}=\frac{BC}{QR}=\frac{2}{1})$.