Seth is using the figure shown below to prove the Pythagorean Theorem using triangle similarity: In the given triangle PQR, angle P is 90° and segment PS is perpendicular to segment QR.

The figure shows triangle PQR with right angle at P and segment PS. Point S is on side QR.

Part A: Identify a pair of similar triangles. (2 points)

Part B: Explain how you know the triangles from Part A are similar. (4 points)

Part C: If RS = 4 and RQ = 16, find the length of segment RP. Show your work. (4 points)