Question

Given △LMN and △VTU , how might the AA Similarity Theorem be used to prove ΔLMN∼ΔVTU ?(1 point) Responses Show ∠L≅∠V and ∠M≅∠U . Show ∠L≅∠V and ∠M≅∠U . Show ∠L≅∠V and ∠M≅∠T . Show ∠L≅∠V and ∠M≅∠T . Show ∡L+∡M+∡N=∡V+∡T+∡U=180° . Show ∡L+∡M+∡N=∡V+∡T+∡U=180° . Show LM¯¯¯¯¯¯¯¯¯:VT¯¯¯¯¯¯¯=MN¯¯¯¯¯¯¯¯¯¯:TU¯¯¯¯¯¯¯ .

Answer 1

To prove that ΔLMN is similar to ΔVTU using the AA (Angle-Angle) Similarity Theorem, you need to demonstrate that two pairs of corresponding angles are congruent. The correct response would be:

Show ∠L ≅ ∠V and ∠M ≅ ∠U.

By establishing that these two pairs of angles are congruent, you can conclude that ΔLMN is similar to ΔVTU by the AA Similarity Theorem, which states that if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.