A plane.
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plane
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.
well, a line consists of an infinite number of points the three important points on a line are start (the origin of the line) end (the end of the line) midpoint (halfway across the line)
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.
Any three given points can be joined by a common plane, and any two given points can be joined by a common line and an infinite number of common planes.