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How often are two non-coplanar lines that are perpendicular to the same line are parallel to each other?
Never. If they are parallel then the original line and the two perpendiculars would be coplanar which, they are required not to be.
A line that intersects two or more coplanar lines?
A transversal.
What are two line that dont intersect and are not coplanar?
skew lines
Can two lines be coplanar always?
No. Skew lines are never coplanar. Stand in a cuboid room and consider the line where the opposite wall and the floor meet. Consider also the line where the walls behind you and to your right meet. Those two lines are not coplanar.
A line that intersects two coplanar lines at two different points?
Transversal
A line two points are guaranteed to be coplanar if?
they lie in the same plane
A line that intersects two coplanar lines at two distinct points is called what?
transversal
Does a line contain four non-coplanar points?
No, a line cannot contain four non-coplanar points. By definition, coplanar points are points that lie in the same plane, and any three points determine a plane. Since a line consists of an infinite number of points that are linear, any additional point beyond two points on a line will not be able to create a non-coplanar arrangement with those already on the line. Thus, four points on a line must be coplanar.
What line is coplanar and meet at a point?
One line cannot be coplanar, and there is nothing for it to meet.
What is a line that intersects two or more coplanar lines at different points?
It is a tranversal.
What are the three points for coplanar but not collinear?
Two points (which must lie on a line) and the third point NOT on that line.
Four points are always co planar if?
They are coplanar if the line joining any two of them intersects the line joining the other two.
