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)