Question

question 3 (5 points) explain how you can determine that each pair of triangles is similar. 40° 60° 40° 60° a angle - angle similarity theorem b side - side - side similarity theorem c side - angle - side similarity theorem

Explanation:

Step1: Recall similarity theorems

The Angle - Angle (AA) similarity theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

Step2: Check angles

In the given triangles, one triangle has angles \(40^{\circ}\) and \(60^{\circ}\), and the other triangle also has angles \(40^{\circ}\) and \(60^{\circ}\). Since two pairs of angles are equal, by the AA similarity theorem, the triangles are similar.

Answer:

A. Angle - Angle Similarity Theorem