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No. Normally, two lines will uniquely identify a plane, unless they happen to be parallel. If you add a third line, it will usually not be in the same plane.
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Not quite. Two lines that meet will uniquely identify a plane. But you can have lines that are neither coplanar nor parallel.
For example, consider a cube and think of the line defined by the front bottom and one of the back verticals. Neither parallel, nor coplanar.
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What is a counterexample for three coplanar lines always make a triangle?
If at least two of the three lines are parallel, the three lines will not form a triangle.
Are parallel lines always sometimes never coplanar?
They are ALWAYS coplanar! This is because the definition says so! You have to read it first, in order to get the answer!
A line and a point not on the line are never coplanar?
No, they always are From Wikipedia.org, "The World's Encyclopedia" when I searched coplanar In geometry, a set of points in space is coplanar if the points all lie in the same geometric plane. For example, three distinct points are always coplanar; but four points in space are usually not coplanar. Since 3 points are always coplanar. A point and line are always coplanar
4 points are always coplanar?
Three points are, but not four.
Two parallel lines are coplanar?
Not necessarily. The Tropic of Cancer, and the Tropic of Capricorn, imaginary lines on the surface of the earth (an approximate sphere), are parallel but they are not coplanar. You could draw similar lnes on a proper sphere that were parallel but not coplanar.
Are any two lines always coplanar?
No, not always. Skew lines are never coplanar, but parallel lines are.
What is a counterexample for three coplanar lines always make a triangle?
If at least two of the three lines are parallel, the three lines will not form a triangle.
Are parallel lines in space coplanar sometimes?
Parallel lines in Euclidean space are always coplanar.
Is two lines that are transversal always never or sometimes coplanar?
They are always coplanar in Euclidean geometry.
Are three lines sometimes coplanar?
yes. three lines can coplaner.
Are two parallel lines always coplanar?
Yes.
Are two parralel lines always coplanar?
Yes.
Do coplanar lines always intersect?
No. They could be parallel.
Are two parallel lines never coplaner?
Parallel lines are ALWAYS coplanar.
Are parallel lines always sometimes never coplanar?
They are ALWAYS coplanar! This is because the definition says so! You have to read it first, in order to get the answer!
Are three points always collinear?
No but they are always coplanar.
Why can't you draw three points coplanar?
This is a nonsense question. Any three point are always coplanar.
