Given △LMN

Question

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

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≅∠V
and ∠M≅∠U
.
Show ∠L≅∠V
and ∠M≅∠U
.

Show ∡L+∡M+∡N=∡V+∡T+∡U=180°
.

Answer 1

To prove that triangles ΔLMN and ΔVTU are similar using the AA Similarity Theorem, you would need to show that two pairs of corresponding angles are congruent.

The correct response would be:

Show ∠L≅∠V and ∠M≅∠T.

This establishes the similarity of the triangles by demonstrating that they have two pairs of equal angles, which is sufficient by the AA Similarity Theorem to conclude that ΔLMN ∼ ΔVTU.