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:

Option B.

Step-by-step 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

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Using the above formula we get

$m_{AC}=\dfrac{1-(-1)}{-1-(-4)}=\dfrac{2}{3}$

$m_{CE}=\dfrac{5-(1)}{5-(-1)}=\dfrac{4}{6}=\dfrac{2}{3}$

We can say that

$m_{AC}=m_{CE}$

$\dfrac{1-(-1)}{-1-(-4)}=\dfrac{5-1}{5-(-1)}$

Therefore, the correct option is B.

Answer 2

Answer: the answer is B