Question

Select the postulate or theorem that you can use to conclude that the triangles are similar.

Answer 1

First state that two triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Let's take two triangles that are similar:

Taking two triangles:

`{\triangle ABC \text{ and } \triangle PQR`

If

`\angle A \displaystyle \cong \angle P`

and

`\angle C \displaystyle \cong \angle R`

Then,

`{\triangle ABC \sim \triangle PQR`

It is Angle-Angle (or AA) Theorem.

It says that two triangles are similar if they have two pairs of corresponding angles that are congruent.