collinear points
Collinear points refer to a set of points that lie on the same straight line
Collinear points refer to a set of points that lie on the same straight line. In other words, if three or more points are collinear, it means that a line can be drawn through all of them.
A line can be defined by any two distinct points, so if there are three collinear points, we can determine that they all lie on the same line. It is important to note that collinearity applies to any number of points greater than or equal to two.
If we take three points, A, B, and C, they are collinear if the slope of line AB is equal to the slope of line BC. This criterion holds true for any number of collinear points. For example, if points A, B, C, and D are collinear, the slopes of AB, BC, and CD will all be equal.
Collinear points have mathematical significance and play a crucial role in various geometric concepts and theorems. They help in defining lines, segments, and rays and are also used in proofs involving parallel and congruent lines, triangles, and other geometric figures.
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