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ivann1987 [24]
4 years ago
10

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)

Mathematics
1 answer:
S_A_V [24]4 years ago
5 0
ANSWER

D) \:  \: \frac{0 - 4}{ - 4 - ( - 7)}=\frac{ - 4 - 8}{ - 1 - ( - 7)}



EXPLANATION


The slope can be calculated using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

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


= \frac{0 - 4}{ - 4 - ( - 7)}



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




= \frac{ - 4 - 8}{ - 1 - ( - 7)}


Therefore the required proportion is,



\frac{0 - 4}{ - 4 - ( - 7)}=\frac{ - 4 - 8}{ - 1 - ( - 7)}

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