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?%0D%0AResponses%0D%0A%0D%0A%0D%0AA%093−5−4−0%0D%0A3%0D%0A−%0D%0A5%0D%0A−%0D%0A4%0D%0A−%0D%0A0%0D%0A = 3−20−2%0D%0A3%0D%0A−%0D%0A2%0D%0A0%0D%0A−%0D%0A2%0D%0A3 − 5 − 4 − 0 = 3 − 2 0 − 2%0D%0A%0D%0A%0D%0AB%093−5−4−0%0D%0A3%0D%0A−%0D%0A5%0D%0A−%0D%0A4%0D%0A−%0D%0A0%0D%0A = 3−22−0%0D%0A3%0D%0A−%0D%0A2%0D%0A2%0D%0A−%0D%0A0%0D%0A3 − 5 − 4 − 0 = 3 − 2 2 − 0%0D%0A%0D%0A%0D%0AC%095−3−4−0%0D%0A5%0D%0A−%0D%0A3%0D%0A−%0D%0A4%0D%0A−%0D%0A0%0D%0A = 3−20−2%0D%0A3%0D%0A−%0D%0A2%0D%0A0%0D%0A−%0D%0A2%0D%0A5 − 3 − 4 − 0 = 3 − 2 0 − 2%0D%0A%0D%0A%0D%0AD%095−3−4−0%0D%0A5%0D%0A−%0D%0A3%0D%0A−%0D%0A4%0D%0A−%0D%0A0%0D%0A = 2−30−2

1 answer

The proportion that can be used to show that the slope of AC is equal to the slope of CE is:

AC/CE = (3-5)/(3-2) = (-2)/(-2)

So the correct option is:

D) 3-5-4-0 = 2-3-0-2