Question

Are Triangles similar?

Answer 1

Given:

A figure of triangles.

To find:

Whether the triangles SPT and triangle QPR are similar.

Solution:

In triangle SPT and triangle QPR,

`\angle PST\cong \angle PQR` (Given)

`\angle SPT\cong \angle QPR` (Common angle)

In triangles SPT and triangle QPR, two corresponding angles are congruent. So, by AA property of similarity both triangles are similar.

`\angle SPT\sim \angle QPR`

Therefore, yes, the triangle SPT and triangle QPR similar. Option A is correct.