Given △LMN and △VTU , how might the AA Similarity Theorem be used to prove ΔLMN∼ΔVTU ?(1 point) Responses 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° . Show ∡L+∡M+∡N=∡V+∡T+∡U=180° . 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.

Answer 1

To use the AA Similarity Theorem to prove that ΔLMN ∼ ΔVTU, we would need to show that two pairs of corresponding angles are congruent. In this case, the correct approach based on the given responses would be:

Show ∠L ≅ ∠V and ∠M ≅ ∠T.

This response confirms that if two angles in one triangle are equal to two angles in another triangle, the triangles are similar by the AA (Angle-Angle) similarity criterion, thus proving ΔLMN ∼ ΔVTU.