Coplanar lines are either parallel or intersecting.

Question

Always True (my answer)
Sometimes True
Never True

Any three distinct collinear points are coplanar

True
False (my answer)

Two lines that do not intersect no matter how far you are going to extend them are parallel

Always True (my answer)
Sometimes True
Never True

Non-intersecting lines are noncoplanar.

Always True
Sometimes True (my answer)
Never True

Answer 1

#1. ok

#2. Any three distinct collinear points are coplanar
How can this not be true? Every line lies in some plane, so any set of collinear points must lie in a plane.

3 points determine a plane, unless they are collinear, but they still must lie in the same plane(s). Many planes contain a line, and so must also cintain the three points in that line.

#3. false - skew lines do not intersect, and they are not parallel
they are not coplanar.

#4. ok - I'm surprised that you got this, but not #3.

Answer 2

oh, yeah shoot. Thanks

For num 2, I read it as "Any three distinct coplanar points are collinear"
My bad

For num 3 though, I answered "sometimes true", neither false nor true

Anyway, thank you