>Two points that lie on the same plane. Any pair of points on the plane will thus >form a line. (In most basic geometry classes, the majority of the class work is >only concerned with one plane) Any number of points can be coplanar. In fact, any 3 points are always coplanar, and if they are not colinear (all three on the same line), they define a unique plane.
Colinear Points
In 3-dimensional space, yes, any three points are coplanar.
Definition of Coplanar points: Coplanar means that the points are on the equal plane. Plane is a two-dimensional object, with as such is a bit more complicated.Collinear,line,plane and point are the related terms of coplanar.Points that are on the same plane. 2 points are alwayscoplanar...3 points are always coplanar...4 points are sometimes coplanar.
No but they are always coplanar.
No. A trinagle does not require four points, three are sufficient. And any three points, if they are not colinear, must be coplanar.
They lie in the same plane, but they don't necessarily have to lie on the same line. Every triangle consists of three points that are coplanar but non-colinear.
>Two points that lie on the same plane. Any pair of points on the plane will thus >form a line. (In most basic geometry classes, the majority of the class work is >only concerned with one plane) Any number of points can be coplanar. In fact, any 3 points are always coplanar, and if they are not colinear (all three on the same line), they define a unique plane.
Colinear Points
A set of 3 points will always be coplanar, but will only sometimes be collinear. Collinear points are always coplanar as well.
To prove that three points are colinear, pick two points and form the equation of the line they describe, and then see if the third point lies on that line.
In 3-dimensional space, yes, any three points are coplanar.
Definition of Coplanar points: Coplanar means that the points are on the equal plane. Plane is a two-dimensional object, with as such is a bit more complicated.Collinear,line,plane and point are the related terms of coplanar.Points that are on the same plane. 2 points are alwayscoplanar...3 points are always coplanar...4 points are sometimes coplanar.
No but they are always 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
non-coplanar points
3