Given triangle LMN and triangle VTU, how might the AA Similarity Theorem be used to prove triangle LMN ~ triangle VTU?

a. Show LM : VT = MN : TU
b. Show ∠L + ∠V + ∠N = ∠V + ∠T + ∠U = 180 degrees
c. Show ∠L ≅ ∠V and ∠M ≅ ∠U
d. Show ∠L ≅ ∠V and ∠M ≅ ∠T

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

The AA Similarity Theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. To prove triangle LMN ~ triangle VTU using the AA Similarity Theorem, you would focus on showing that two pairs of corresponding angles are congruent.

Among the options you provided, the correct approach is:

c. Show ∠L ≅ ∠V and ∠M ≅ ∠U

By demonstrating that these angles are congruent, you would satisfy the criteria of the AA Similarity Theorem, leading to the conclusion that triangle LMN is similar to triangle VTU (LMN ~ VTU).