Question

i need help please! I think I know the answer but for some reason my brain's telling me that it's wrong so if someone could explain how to get the answer so I can check that would be great.

Answer 1

Considering the slopes of the segments, the correct option is:

D. No, because the triangle ABC doesn't have a pair of perpendicular sides.

When are lines parallel, perpendicular or neither?

The slope, given by change in y divided by change in x, determines if the lines are parallel, perpendicular, or neither, as follows:

• If they are equal, the lines are parallel.

• If their multiplication is of -1, they are perpendicular.

• Otherwise, they are neither.

Here, we have to find if there are perpendicular segments, that is, if two slopes multiplied have a value of -1, then:

• mAB = (-7 - 9)/(11 - 1) = -8/5.

• mAC = (3 - 9)/(-9 - 1) = 3/5.

• mBC = (3 - (-7))/(-9 - 11) = -1/2.

No sides are perpendicular, hence option D is correct.

More can be learned about slopes at https://brainly.com/question/20847660

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