All coplanar lines are parallel? TRUE OR FALSE?

Question

All coplanar lines are parallel?

True or False

I will choose the best answer that has support to back up it choice.
Make sure you know what coplanar means before you answer this question.

Answer 1

X

have you seen that? 2 lines!!! and they intersected!
are they in the same plane? of course: they're on my screen! (2d)

is that enough?

in fact, a plane is almost always defined by 2 vectors (lines) non-colinear (non parralel)

Answer 2

False. Coplanar simply means they are on the same plane. An infinite number of non-parallel lines can be placed on any plane, and an infinite number of parallel lines can also be placed on a plane.

If you can make two lines on a plane that cross, then you have proven that coplanar lines do not have to be parallel. Just draw an x and you have your answer.

Answer 3

This is absolutely a false statement.

Why to go to a big example just consider the x and y axis. I think you know that they are co-planar lines. Do you think they are parallel?

No they are not. In the same way take any two lines (intersecting) they will form a plane (co-planar) but they are not parallel.

There will also be parallel lines that that are co-planar. Examine the lines x=1 and x=3. they are parallel and co-planar.

Though there are some lines that are parallel and co-planar, your statement is False as you have used the word "all".

Therefore All coplanar lines are not parallel.

Hope you can understand this.

Answer 4

False. Coplanar lines need only exist on the same plane. They may or may not be parallel. For example, two lines on a plane meeting at an angle other than zero are coplaner, but not parallel because they meet.

Answer 5

False. Coplanar simply means a set of points in space in a geometric plane. None of them even have to be parallel.

Answer 6

Parallel to what? to each other - false, of course.

The statement "All coplanar lines, any pair of which have no comon points, are parallel", that would be true, but as it is, nope.

As it is, there are an infinte number that are parallel, and an infinte number that cross one another. So... Nope.

Answer 7

Parallel lines will always be coplanar. But not all coplanar lines are parallel.

Answer 8

No. not at all. take any three concurrent(meet at a single point) lines in a plane they are intersecting
by the way skew lines are not coplanar

Answer 9

coplanar lines are lines on the same plane.they can be
1.intersecting when they pass through a common point
2.parallel if they do not pass through a common point
since there could be intersecting lines the statement is not true

Answer 10

FALSE. Because any plane has inifinite number of x,y coordinates and using these coordinates infinite number of parallel and non-parallel line can be drawn on a plane.