Question

Triangle ABC and 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) 1-(-1) = 5-(-1)



-1 -4 5-1




b)1-(-1)= 5-1



-1-(-4) 5-(-1)




c) -1-(-4)= 5-1



1-1(-1) 5-(-1)




b)1-(-1)= 5-(-1)



-1-(-4) 5-1

Answer 1

Answer: the answer is B

Answer 2

Option B.

Explanation:

Consider the below figure attached with this question.

From the below figure it is clear that the line passes through the points A(-4,-1), C(-1,1) and E(5,5).

Formula for slope is

`m=(y_2-y_1)/(x_2-x_1)`

Using the above formula we get

`m_(AC)=(1-(-1))/(-1-(-4))=(2)/(3)`

`m_(CE)=(5-(1))/(5-(-1))=(4)/(6)=(2)/(3)`

We can say that

`m_(AC)=m_(CE)`

`(1-(-1))/(-1-(-4))=(5-1)/(5-(-1))`

Therefore, the correct option is B.