Given line AB, use similar triangles to prove that the slope of line AB is the same between any two points on the line.


1. Create two similar, but not equal, right triangles using segments of line AB as the hypotenuse of each triangle. For the first right triangle use point A(-5,-1) and choose another point on the line to form the hypotenuse. For the second right triangle use point B(4,3.5) and choose another point on the line to form the hypotenuse. For each point used to create the triangles, name the point with a capital letter and coordinates. For example, the triangle using point A could be named ΔACE and the triangle using point B could be named ΔBDF.
2. For the pair of similar triangles created in Part 1, list three pairs of corresponding angles that are equal and three sets of proportionate sides.
3. Use the pair of similar triangles created in Part 1 to demonstrate that the slope of line is the same between any two points on the line.

In your final answer, include a copy of your graph labeling original line AB, and all of Parts 1-3 Be sure to show the vertical and horizontal lengths used for the rise and run of the slope. To submit your answers, use a word processing program or handwritten solutions.