Mastering Postulate 2.2 | Segment Addition Postulate Explained with Examples and Applications

Postulate 2.2

Postulate 2.2

Postulate 2.2, also known as the Segment Addition Postulate, states that if three points A, B, and C are collinear (lying on the same line), then point B is between points A and C if and only if the distance between A and B plus the distance between B and C equals the distance between A and C.

In simpler terms, if you have a line segment with three points on it, B will be between A and C if the sum of the lengths of segment AB and segment BC is equal to the length of segment AC.

Mathematically, this can be expressed as:

AB + BC = AC

This postulate is often used to prove and solve problems involving line segments and their lengths.

More Answers:
Understanding Postulate 2.6 | The Segment Addition Postulate in Geometry
Understanding Postulate 2.4 | The Unique Line Postulate in Geometry
Understanding Postulate 2.5 | The Vertical Angles Theorem and Its Applications in Geometry

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