Given △LMN
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+∡M+∡N=∡V+∡T+∡U=180°
.
Show ∡L+∡M+∡N=∡V+∡T+∡U=180°
.
Show ∠L≅∠V
and ∠M≅∠T
.
1 answer
To use the AA (Angle-Angle) Similarity Theorem to prove that triangles ΔLMN and ΔVTU are similar (ΔLMN ∼ ΔVTU), you need to show that two corresponding angles from each triangle are congruent.
The correct response is:
Show ∠L≅∠V and ∠M≅∠U.
This demonstrates that the two triangles have two pairs of corresponding angles that are congruent, which is sufficient to apply the AA Similarity Theorem and conclude that the triangles are similar.
