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.

(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 :

And, the slope of the line HJ is:

Now,

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

hope this is what you were asking for!

step-by-step explanation: