Given △LMN

Question

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≅∠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 (Angle-Angle) Similarity Theorem, you need to demonstrate that two pairs of corresponding angles are congruent.

The appropriate response would be:

Show ∠L ≅ ∠V and ∠M ≅ ∠T.

This response correctly identifies the two pairs of angles needed to apply the AA Similarity Theorem, which states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar (ΔLMN ∼ ΔVTU).