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marshall27 [118]
3 years ago
12

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

Mathematics
2 answers:
elixir [45]3 years ago
3 0

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 )

m_{CD} = \frac{-4-4}{0+2} = \frac{-8}{2} = - 4

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

m_{GF} = \frac{2-0}{4+4} = \frac{2}{8} = \frac{1}{4}

The 2 lines are perpendicular because their slopes are negative reciprocals


erastova [34]3 years ago
3 0

Answer:

i would say the answer is B

Step-by-step explanation:

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