Question

Which piece of additional information can be used to prove that △RST ~ △VUT?

RT = ST
ST = UT
∠R ≅ ∠V
∠V ≅ ∠U

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Answer 1

i was thinking either a or c and brainfarting terribly

Answer 2

i was thinking either a or c and brainfarting terribly

Answer 3

You have two triangles connected at a vertex
Because of the vertical angles, <RTS and <VTU are congruent.

Answer 4

That gives you one pair of congruent angles.
What do you need to prove two triangles similar?

Answer 5

well, the simplest test for similarity would be, methinks, AA
so... now, notice the vertical angles

Answer 6

Here is the definition of similar triangles:
If triangles are similar, then each pair of corresponding angles is congruent, and the lengths of corresponding sides are in the same ratio.

To prove two triangles congruent, you can use AA Similarity.
That is, you need to show that two pairs of corresponding angles are congruent.
Here you already have the pair of vertical angles as a pair of corresponding angles that is congruent.
If you can name another pair of congruent, corresponding angles, then you'll have the two pairs of congruent angles necessary for AA Similarity.

Answer 7

so c

Answer 8

Correct.