Segment addition postulate

This article includes a list of references, related reading or external links, but its sources remain unclear because it lacks inline citations. Please help to improve this article by introducing more precise citations. (November 2021) (Learn how and when to remove this template message)

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 ${\displaystyle \geq }$ 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[]

• http://www.course-notes.org/Geometry/Segments_and_Rays/Segment_Addition_Postulate

This Elementary geometry related article is a stub. You can help Wikipedia by .

• v
• t