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

Answer 1

To use the AA Similarity Theorem to prove that triangles ΔLMN and ΔVTU are similar (ΔLMN ∼ ΔVTU), you should focus on showing that two angles in one triangle are congruent to two angles in the other triangle.

The correct response would be:

Show ∠L ≅ ∠V and ∠M ≅ ∠T.

This approach continually emphasizes that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar, satisfying the AA Similarity Theorem.