Answer:
D
Step-by-step explanation:
We want to prove that ΔMNP is similar to ΔRSP using Angle-Angle Similarly.
First, we already have one congruent angle, ∠P.. So, we will need to acquire another angle. We can see that we either need to know one of two things: 1) ∠NMP and ∠SRP are congruent or 2), ∠MNP or ∠RSP are congruent.
So, we can eliminate choices A, B, and C. Knowing any one of the specific angles won't give us the value of the other, corresponding angle.
Therefore, the correct answer is D. If MN is parallel to SR, then we will have two parallel cut be a traversal NP or MP.
Then by the corresponding angles theorem, ∠NMP and ∠SRP are congruent and/or ∠MNP or ∠RSP are congruent.