Trapezoids and Vectors
- Norm Prokup
Adjust the value of scalar multiple k. Think of base DE as a k-magnitude dilation of AB.
Extend the nonparallel sides AD and BE until they intersect at point C. How do the areas of triangles CAB and CDE compare? Draw diagonals AE and DB, and label their intersection P. How do the areas of triangles BAP, DPE, BPE, and APD compare to the area of trapezoid ABED?