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?
Responses
A 3 − 5 / − 4 − 0 = 3 − 2 / 0 − 2
B 3 − 5 / − 4 − 0 = 3 − 2 / 2 − 0
C 5 − 3 / − 4 − 0 = 3 − 2 / 0 − 2
D 5 − 3 / − 4 − 0 = 2 − 3 / 0 − 2
The correct proportion is:
(5 - 3) / (- 4 - 0) = (3 - 2) / (0 - 2)
So the correct answer is C.
you sure
?
Apologies for the confusion. Let's re-evaluate the answer options:
The slope of a line is given by the change in y-coordinates divided by the change in x-coordinates.
For triangle ABC, considering the points A(-4, 5) and C(0, 3), the slope of AC is:
(5 - 3) / (-4 - 0) = 2 / -4 = -1/2.
For triangle CDE, considering the points C(0, 3) and E(2, 2), the slope of CE is:
(3 - 2) / (0 - 2) = 1 / -2 = -1/2.
Therefore, the slope of AC is equal to the slope of CE, and the correct answer is option C.