Answer:
perpendicular
Step-by-step explanation:
Calculate the slopes m of AB and CD using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(2, 4) and (x₂, y₂ ) = B(9, 8)
m = [tex]\frac{8-4}{9-2}[/tex] = [tex]\frac{4}{7}[/tex]
Repeat with
(x₁, y₁ ) = C(- 1, 2) and (x₂, y₂ ) = D(3, - 5)
m = [tex]\frac{-5-2}{3+1}[/tex] = - [tex]\frac{7}{4}[/tex]
The slopes are not equal, hence AB and CD are not parallel
The slope are negative inverses of each other, hence
AB and CD are perpendicular
