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 angle liters is congruent to angle cap v and angle cap m is congruent to angle cap u .

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≅∠T
.
Show angle cap L is congruent to angle cap v and angle cap m is congruent to angle cap t .

Show ∡L+∡M+∡N=∡V+∡T+∡U=180°
.

Answer 1

"Show ∠L ≅ ∠V and ∠M ≅ ∠U."

Reason: The AA Similarity Theorem says if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar. So those two angle congruences give ΔLMN ∼ ΔVTU.