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+∡M+∡N=∡V+∡T+∡U=180° . Show ∡L+∡M+∡N=∡V+∡T+∡U=180° . Show ∠L≅∠V and ∠M≅∠T . Show ∠L≅∠V and ∠M≅∠T . Show LM¯¯¯¯¯¯¯¯¯:VT¯¯¯¯¯¯¯=MN¯¯¯¯¯¯¯¯¯¯:TU¯¯¯¯¯¯¯ .

Answer 1

To use the AA (Angle-Angle) Similarity Theorem to prove that triangles \( \Delta LMN \sim \Delta VTU \), you only need to establish that two pairs of corresponding angles are congruent.

Among the options provided, the correct response would be:

Show \( \angle L \cong \angle V \) and \( \angle M \cong \angle U \).

This shows that both triangles have two angles that are equal, fulfilling the requirements of 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.