Given △LMN and △VTU , how might the AA Similarity Theorem be used to prove ΔLMN∼ΔVTU ?(1 point) Responses Show LM¯¯¯¯¯¯¯¯¯:VT¯¯¯¯¯¯¯=MN¯¯¯¯¯¯¯¯¯¯:TU¯¯¯¯¯¯¯ . Show ratio of line segment cap l cap m to line segment cap v cap t is equal to ratio of line segment cap m cap n to line segment cap t cap 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 ∠L≅∠V and ∠M≅∠U . Show ∠L≅∠V and ∠M≅∠U .

Answer 1

To prove that triangles ΔLMN and ΔVTU are similar using the AA (Angle-Angle) Similarity Theorem, you need to demonstrate that two pairs of corresponding angles in the triangles are congruent. Therefore, the most appropriate response would be:

Show ∠L≅∠V and ∠M≅∠T.

If you can confirm that these two pairs of angles are congruent, then by the AA Similarity Theorem, you can conclude that ΔLMN ∼ ΔVTU.