Triangle STU is dilated to form new triangle VWX. If angle S is congruent to angle V, what other information will prove that the two triangles are similar?

We can use AA to prove similar triangles. We already know angle S=V, so if we know any other two angles are equals, such as T=W, or U=X, then we can prove the similarity. Or we can use SAS if the two side lengths that include the angle of a triangle is proportional to the other triangle, or ST/VW=SU/VX.