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.
The figure shows triangle DEF with right angle at D and segment DG. Point G is on side EF.
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)