The shape described is a plane, which is a two-dimensional surface that extends infinitely in both width and length. In geometry, a plane can be uniquely determined by any three non-collinear points on the plane. This is known as the "three-point" or "unique determination" property of a plane. The three points define the plane's orientation and position in three-dimensional space.
Yes, three points define a plane. So any three points lie in some specific plane and are therefore co-planar.
Points that lie on the same plane are coplanar. Generally, three points have to be coplanar, but more than that can be in any plane.
Any three points that are non-collinear (not on the same line) will determine a plane.
There are an infinite number of any kind of points in any plane. But once you have three ( 3 ) non-collinear points, you know exactly which plane they're in, because there's no other plane that contains the same three non-collinear points.
plane
A plane.
A plane.
A plane can be determined by three points, as long as the three points do not lie along a single line.
A plane.
The shape described is a plane, which is a two-dimensional surface that extends infinitely in both width and length. In geometry, a plane can be uniquely determined by any three non-collinear points on the plane. This is known as the "three-point" or "unique determination" property of a plane. The three points define the plane's orientation and position in three-dimensional space.
Just one plane.
3 non-collinear points define one plane.
Any three non-collinear points will define a single plane. A plane is composed of an infinite number of distinct lines.
A plane is named by three points in the plane that is not on the same line.
It takes three points to make a plane. The points need to be non-co-linear. These three points define a distinct plane, but the plane can be made up of an infinite set of points.
Any three points will determine a plane, provided they are not collinear. If you pick any two points, you can draw a line to connect them. An infinite number of planes can be drawn that include the line. But if you pick a third point that does not lie on the line. There will be exactly one plane that will contain the line and that point you added last. Only oneplane can contain the line, which was determined by the first two points, and the last point.