Question

Triangle ABC and triangle CDE are similar right triangles. Which proportion can be used to show that the slope of AC is equal to the slope of CE?

A.6-3 3-(-3)
-3-1 -1-3

B.6-3 3-3
-3-(-1) -1-3

C.6-3 3-(-3)
-3-(-1) -1-3

D.-3-(-1) 3-(-3)
6-3 -1-3​

Answer 1

C.

(6 - 3)/(-3 - (-1))

(3 - (-3))/(-1 - 3)= 6/(-4)

Explanation:

Slope AC = (y(A) - y(C))/(x(A) - x(C)) = (6 - 3)/(-3 - (-1)) = 3/(-2)

Slope CE = (y(C) - y(E))/(x(C) - x(E)) = (3 - (-3))/(-1 - 3)= 6/(-4) = 3/(- 2)