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≅∠U
.
Show ∠L≅∠V
and ∠M≅∠U
.

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

Show ∡L+∡M+∡N=∡V+∡T+∡U=180°
.

Answer 1

To prove that \( \Delta LMN \sim \Delta VTU \) using the AA (Angle-Angle) Similarity Theorem, you would focus on establishing that two pairs of corresponding angles are congruent.

The correct response is: Show ∠L ≅ ∠V and ∠M ≅ ∠U.

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar by the AA Similarity Theorem.