Question

does anyone know the answer to this?

Answer 1

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 )

$m_{AB}$ = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

C (x₃, y₃ ) and D (x₄, y₄ )

$m_{CD}$ = $\frac{y_{4}-y_{3} }{x_{4}-x_{3} }$

then

$m_{CD}$ = $m_{AB}$

$\frac{y_{4}-y_{3} }{x_{4}-x_{3} }$ = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ → C