Answer:
C
Step-by-step explanation:
for AB to be parallel to CD then the slopes of both segments must be equal
using the slope formula to find the slopes , then
A (x₁, y₁ ) and B (x₂, y₂ )
[tex]m_{AB}[/tex] = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
C (x₃, y₃ ) and D (x₄, y₄ )
[tex]m_{CD}[/tex] = [tex]\frac{y_{4}-y_{3} }{x_{4}-x_{3} }[/tex]
then
[tex]m_{CD}[/tex] = [tex]m_{AB}[/tex]
[tex]\frac{y_{4}-y_{3} }{x_{4}-x_{3} }[/tex] = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] → C
