{{Short description|Postulate in geometry}} {{Multiple issues| {{No footnotes|date=November 2021}} {{One source|date=November 2024}} }} In geometry, the '''segment addition postulate''' states that given 2 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 <math>\geq</math> 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.
==External links== * https://www.course-notes.org/Geometry/Segments_and_Rays/Segment_Addition_Postulate
Segment Addition Calculator: * https://www.omnicalculator.com/math/segment-addition-postulate
Category:Logic Category:Elementary geometry
{{elementary-geometry-stub}}