Question

Given △LMN
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 measure of angle L plus measure of angle cap m plus measure of angle cap n is equal to measure of angle cap v plus measure of angle cap t plus measure of angle cap u is equal to 180 degrees .

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≅∠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¯¯¯¯¯¯¯
.

Answer 1

Show ∠L ≅ ∠V and ∠M ≅ ∠T.

If two pairs of corresponding angles are congruent, then by the AA Similarity Theorem the triangles are similar, so ΔLMN ∼ ΔVTU (with correspondence L↔V, M↔T, N↔U).