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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.
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Do planes contain ponts and lines?
A point is a single spot in space. A line is the connection between two points. A plane is the space made up between three or more lines. A plane has infinite lines and therefore infinite points.
How many non-collinear points are there in one 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.
What is the greatest number of line segments determined by six coplanar points when no three are collinear?
6*5/2 = 15.
Can three points determined a plane?
Yes, three points determine a plane unless they are in a straight line. A plane is two dimensions a line is only one. You need a third point(not in the line) to define a plane.
What would happen if three collinear points are used to define a plane?
Three collinear points don't define a plane."Define" means narrow it down to one and only one unique plane, so that it can't be confused with any other one.There are many different planes (actually infinite) that can contain three collinear points, so no unique plane is defined.
