Question

Does anyone know the answer to this?

Answer 1

C

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)` =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

C (x₃, y₃ ) and D (x₄, y₄ )

`m_(CD)` =
`(y_(4)-y_(3) )/(x_(4)-x_(3) )`

then

`m_(CD)` =
`m_(AB)`

`(y_(4)-y_(3) )/(x_(4)-x_(3) )` =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )` → C