Which statement best explains the relationship between lines cd and fg? a. they are perpendicular because their slopes are equal. b. they are perpendicular because their slopes are negative reciprocals. c. they are not perpendicular because their slopes are equal. d. they are not perpendicular because their slopes are negative reciprocals.

Its B

Step-by-step explanation:

B

calculate the slopes m of the 2 lines using the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = C(- 2, 4) and (x₂, y₂ ) = D(0, - 4 )

= = = - 4

repeat with (x₁, y₁ ) = F(- 4, 0 ) and (x₂, y₂ ) = G(4, 2 )

= = =

The 2 lines are perpendicular because their slopes are negative reciprocals

i would say the answer is B

Step-by-step explanation:

Two coordinates of the blue line (-4,0) and (4,2).

Let us find the slope of blue line now.

Two coordinates of the green line (-2,4) and (0,-4).

Let us find the slope of green line now.

.

We can see that slope are negative reciprocal of each other.