Question

Question

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

Show ∠L≅∠V
and ∠M≅∠U
.
Show ∠L≅∠V
and ∠M≅∠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 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.
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page 15 of 15

Answer 1

To use the AA (Angle-Angle) Similarity Theorem to prove that triangles \( \triangle LMN \sim \triangle VTU \), you need to demonstrate that two angles in one triangle are congruent to two angles in the other triangle.

The correct response would be:

Show \( \angle L \cong \angle V \) and \( \angle M \cong \angle U \).

This demonstrates that the triangles are similar based on the AA criterion, which states that if two angles in one triangle are congruent to two angles in another triangle, then the triangles are similar.