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

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

Respuesta :

Answer:they are not perpendicular because their slopes are not negative reciprocals.

Step-by-step explanation:

FG’s slope is 3/4 while HJ’s slope is 2/3. i just had this question on my test lol

fichoh

Using the slope values of both lines, it can be concluded that they are not perpendicular as their slopes aren't negative reciprocals.

Slope of Line FG :

Slope = (1 - (-2)) / (-4 - 0) = - 3/4

Slope of Line HJ :

Slope = (4 - (-2)) / (0 - (-4)) = 6/4 = 3/2

  • Parallel lines would have the same slope value while perpendicular lines would have slope which are negative reciprocal

Therefore, lines FG and HJ are not perpendicular as their slopes are not negative reciprocal.

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