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The slope of CD is 4/3 .

Which segments are perpendicular to CD ?

Select each correct answer.

LM, where L is at (−2, 3) and M is at (−10, 9)
GF where G is at (6, 5)and F is at (10, 2)
EF where E is at (4, 1) and F is at (7, 5)
JK where J is at (1,−2) and K is at (10, −14)

Respuesta :

GF where G is at (6,5) and F is at (10,2)
baabaagreysheep
Your answer is the second option, GF where G is at (6, 5) and F is at (10, 2).

Perpendicular lines always have the negative reciprocal as the other line as their slope. This is such that (1/3) × (-3/1) = -1, so -3/1 is the negative reciprocal to 1/3.

This means we are looking for a line with the slope -3/4, and we can find the slopes by using the formula (y2 - y1)/(x2 - x1).

For the first option, LM, we get (9 - 3)/(-10 - 2) = 6/-12 = -1/2, so it is not this.

For the second option, GF, we get (2 - 5)/(10 - 6) = -3/4, which is the slope we were looking for. This means that the second option is our answer.

I hope this helps!

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