Given △LMN and △VTU , how might the AA Similarity Theorem be used to prove ΔLMN∼ΔVTU ?(1 point)

Question

Possible Answers:
Show ∠L≅∠V and ∠M≅∠T . Show ∠L≅∠V and ∠M≅∠T . 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+∡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 show that two pairs of corresponding angles in the triangles are congruent.

The correct choice from the options provided is:

Show ∠L≅∠V and ∠M≅∠T.

This demonstrates that there are two angles in triangle LMN that are congruent to two angles in triangle VTU, which satisfies the AA Similarity Theorem, thus proving that ΔLMN∼ΔVTU.