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Arada [10]
3 years ago
7

Which statement best explains the relationship between lines FG and HJ?

Mathematics
2 answers:
murzikaleks [220]3 years ago
6 0

Answer:

(D)

Step-by-step explanation:

From the figure, we have

The coordinates of the point F are: (-4,1).

The coordinates of the point G are: (0,-2)

The coordinates of the point J are: (0,4) and

The coordinates of the point H are: (-4,-2).

Now, the slope of the line FG is :

S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

S=\frac{-2-1}{0+4}

S=\frac{-3}{4}

And, the slope of the line HJ is:

S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

S=\frac{-2-4}{-4-0}

S=\frac{3}{2}

Now, the slope of FG=\frac{1}{slope of HJ}

\frac{-3}{4}=\frac{2}{3}

which is not possible, thus They are not perpendicular because their slopes are not negative reciprocals.

Allisa [31]3 years ago
6 0

Answer:

D.

They are not perpendicular because their slopes are not negative reciprocals.

Step-by-step explanation:

I got it correct on edge.

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Follow PEMDAS from left to right (or in the case above from top to bottom).

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