Question

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

A)


4 − (−7) / 0 − 4 = −1 − 10 / 4 − 8




B)


−4 − (−7) / 0 − 4= 4 − 8 / −1 − (−10)




C)


0 − 4 / −4 − (−7) = −1 − (−10) / −4 − 8




D)


0 − 4 / −4 − (−7) = −4 − 8 / −1 − (−10)

Answer 1

ANSWER


`D) \: \: (0 - 4)/( - 4 - ( - 7))=( - 4 - 8)/( - 1 - ( - 7))`



Step-by-step explanation


The slope can be calculated using the formula,


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

Using A(-7,4) and C(-4,0), the slope of AC is



`= (0 - 4)/( - 4 - ( - 7))`



Using D(-10,8) and G(-1,-4), the slope of DG is





`= ( - 4 - 8)/( - 1 - ( - 7))`


Therefore the required proportion is,




`(0 - 4)/( - 4 - ( - 7))=( - 4 - 8)/( - 1 - ( - 7))`