Question

state of the triangles in each pair of similar. If so, State how you know they are similar and complete the similarity statement.​

Answer 1

• Similar
• AA similarity
• ΔAFG

Explanation:

The vertical angles at A are the same. The angles at B and F are marked the same. So each triangle has two angles in common with the other. That is all that is required for AA similarity.

Vertex A corresponds to itself, vertex A.

Vertex B corresponds to vertex F, since that is where the angles are marked the same.

The remaining vertices are C and G, and they correspond to each other.

Hence, the corresponding vertices (in the same order) are ... ABC and AFG. This is how the similar triangles are named:

ΔABC ~ ΔAFG