Answer:
Perpendicular
Step-by-step explanation:
Calculate the slopes m of the segments using the slope formula.
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Parallel lines have equal slopes
The product of the slopes of perpendicular lines equals - 1
(x₁, y₁ ) = A(0, 0) and (x₂, y₂ ) = B(e, f)
[tex]m_{AB}[/tex] = [tex]\frac{f-0}{e-0}[/tex] = [tex]\frac{f}{e}[/tex]
Repeat with (x₁, y₁ ) = C(0, e) and (x₂, y₂ ) = D(f, 0)
[tex]m_{CD}[/tex] = [tex]\frac{0-e}{f-0}[/tex] = - [tex]\frac{e}{f}[/tex]
Thus AB and CD are perpendicular since [tex]\frac{f}{e}[/tex] × - [tex]\frac{e}{f}[/tex] = - 1
