From Wikipedia, the free encyclopedia - View original article
In geometry, the segment addition postulate states that given two points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC. This is related to the triangle inequality, which states that AB + BC AC with equality if and only if A, B, and C are collinear (on the same line). This in turn is equivalent to the proposition that the shortest distance between two points lies on a straight line.
The segment addition postulate is often useful in proving results on the congruence of segments.
|This geometry-related article is a stub. You can help Wikipedia by expanding it.|