Consider the trapezoid ABCD where A = (0,0), B = (9,0), C = (8,4), and D = (5,4). The diagonals of this trapezoid intersect at point Q, which is (6,3).
(a) Which two triangles inside the trapezoid are similar?
(b) What is the ratio of the areas of the similar triangles you found in part (a)?
(c) Find the areas of ∆ADQ and ∆BCQ.