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# What are coplanar points?

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Coplanar points are points that lie on the same geometric plane. By definition, three points define a plane, and for any three points, a plane exists that all three points lie on. Since a plane is infinite, the number of possible coplanar points for any plane is also infinite.

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A plane is a two-dimensional surface, and any shape, such a polygon, a curve or a straight line, that can be drawn in two dimensions is made up of coplanar points. Points can lie in more than one plane at a time if those planes intersect. If two distinct planes do intersect, they intersect along a single straight line.

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## Related Questions

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In math, the term "distance between two points" refers to the length of a straight line drawn between the two points on an x-y axis. The distance can be determined by finding the change in the y axis and the the x axis and fitting them into the Pythagorean theorem.

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Use the distance formula and a calculator to find the distance between two points. The distance formula works because if two points are plotted on a graph, their direct line is the hypotenuse of a right triangle; thus, the Pythagorean theorem can be used to determine the distance.

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A set of points that all lie within the same line are said to be collinear. According to Wolfram Mathworld, three points are collinear if and only if the distance between one point and the line formed by the other two points is equal to zero.