Given △LMN

Question

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

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.

Show ∠L≅∠V
and ∠M≅∠U
.

Answer 1

The AA (Angle-Angle) Similarity Theorem states that if two triangles have two corresponding angles that are equal, then the triangles are similar.

To use the AA Similarity Theorem to prove that ΔLMN ∼ ΔVTU, you would want to show that two pairs of corresponding angles are congruent. Thus, the correct response would be:

Show ∠L≅∠V and ∠M≅∠T.

This shows that the triangles have two pairs of equal angles, which is sufficient to prove the similarity of the triangles according to the AA Similarity Theorem.

Answer 2

thank you

Answer 3

You're welcome! If you have any more questions or need further assistance, feel free to ask. Happy studying!