Can parallel lines be coplanar?

Question

im working on a worksheet and i dont understand any of these questions and they have to be eith "always, never, or sometimes" CAN YOU HELP!?

Answer 1

Always, in order for lines to be parallel they have to be coplanar.

Answer 2

No, two parallel lines can sometimes lie in the same plane. You can always draw a plane that will contain both parallel lines, but it is not necessarily true that they MUST lie in the same plane. If you drew two parallel lines in space you could draw an infinite pair of planes (one for each line) that are not the same plane. Take a piece of paper and draw a line on each, hold the papers so the the lines are parallel but separated by a few inches and you'll see.

Answer 3

If two parallel lines are there definitely they will be coplanar (same plain)
If three or more paralel lines are there, they can be coplanar. Need not be always.
To explain more, as three dimensional figures are to be drawn, I am not in a position to explain through "Yahoo Answers". Please approach your teachers.

Answer 4

parallel lines are always coplanar
(for some plane)
Well, in euclidean geometry, anyway.

So the answer is sometimes if you are supposed
to know about non-euclidean geometry.
For example, lines of latitude on the Earth are
parallel but NOT coplanar.

Answer 5

Two || lines always lie in the same plane just as 2 intersecting lines always lie in the same plane.

A plane is determined by
two || lines
two intersecting lines
three non-collinear points
a line and a point not on the line

Answer 6

By definition, parallel lines are coplanar.

Two lines that do not intersect and do not lie in the same plane are defined as skew lines.

Answer 7

OF course!

Draw parallel lines on a sheet of paper. They are co-planar (just imagine the paper to be the plane).