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

Question

Responses

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°.
Show ∡L+∡M+∡N=∡V+∡T+∡U=180°.

Show LM¯¯¯¯¯¯¯¯¯:VT¯¯¯¯¯¯¯=MN¯¯¯¯¯¯¯¯¯¯:TU¯¯¯¯¯¯¯.

Answer 1

To prove that triangles \( \triangle LMN \) and \( \triangle VTU \) are similar using the Angle-Angle (AA) Similarity Theorem, you need to demonstrate that two pairs of corresponding angles are congruent.

The correct response would be:

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

According to the AA Similarity Theorem, if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. Thus, showing these angle congruences is sufficient to conclude that \( \triangle LMN \sim \triangle VTU \).