and △VTU
, how might the AA Similarity Theorem be used to prove ΔLMN∼ΔVTU
?(1 point)
Responses
Show ∠L≅∠V
and ∠M≅∠U
.
Show ∠L≅∠V
and ∠M≅∠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+∡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 pairs of corresponding angles are congruent.
The correct response is:
Show ∠L ≅ ∠V and ∠M ≅ ∠U.
This establishes that the triangles are similar because if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar by the AA similarity criterion.
