collinear points
points that lie on the same line
Collinear points are points that lie on the same straight line. In other words, any two or more points are collinear if and only if they lie on a common line.
An important property of collinear points is that the distance between any two points on the line is equal to the sum of the distances between the other two points on the line. This is known as the segment addition postulate.
Collinear points can be easily identified by drawing a straight line through the given points. If all the points lie on the same line, then they are collinear. Alternatively, you can use the slope formula to determine if the points are collinear. If the slope between any two pairs of points is the same, then they are collinear.
Collinear points are commonly used in geometry to describe relationships between points, lines, and planes. Understanding collinear points is essential for solving various geometry problems, including finding distances between points and constructing parallel and perpendicular lines.
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