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.

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

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