Question

Triangles R S T and V U T are connected at point T.
Which piece of additional information can be used to prove that △RST ~ △VUT?

RT = ST
3ST = UT
∠R ≅ ∠V
∠V ≅ ∠U

Answer 1

∠R ≅ ∠V.

Reason: The two triangles share angle T, so if ∠R ≅ ∠V then each triangle has two equal angles (∠T and ∠R ≅ ∠V), so by AA the triangles are similar. The other choices don't give a second corresponding angle or the needed angle pair for AA.