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

part 1: create two similar, but not equal, right triangles using segments of line as the hypotenuse of each triangle. you may choose the given points and as two of the points used to create the triangles. for each point used to create the triangles, name the point with a capital letter and coordinates.

part 2: for the pair of similar triangles created in part 1, list three pair of corresponding angles that are equal and three sets of proportionate sides.

part 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.

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