Postulate 2.6
Postulate 2.6
Postulate 2.6, also known as the Segment Addition Postulate, states that if three points A, B, and C are collinear and B is between A and C, then the length of segment AB plus the length of segment BC is equal to the length of segment AC.
In other words, if three points are lined up in a straight line, and one point is between the other two, then the sum of the lengths of the two smaller segments is equal to the length of the larger segment.
Mathematically, this can be written as:
AB + BC = AC
This postulate is based on the concept of line segments where the distance between two points is measurable. It is a fundamental geometric principle that is often used in proofs and constructions involving segments.
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