Question: 1) Let A = (0, 0), B = (12, 0), C = (8, 6), and D = (2, 6). The diagonals AC and BD of

Let A = (0, 0), B = (12, 0), C = (8, 6), and D = (2, 6). The diagonals AC and BD of trapezoid ABCD intersect at P. Explain why triangle ABP is similar to triangle CDP. What is the ratio of similarity? Which side of triangle CDP corresponds to side AP in triangle ABP? Why is it inaccurate to write 4ABP 4DCP? Without finding the coordinates of P, show how you can find the lengths AP and P C.

(Continuation) Find the ratio of the areas of triangles (a) ADP to CDP; (b) ADP to ABP; (c) CDP to ABP.

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