Seth is using the figure shown below to prove the pythagorean theorem using triangle similarity:

in the given triangle def, angle d is 90° and segment dg is perpendicular to segment ef

(attached file)

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 eg = 2 and ef = 8, find the length of segment ed. show your work. (4 points)