Final answer:
The Segment Addition Postulate in geometry states that if point B is between points A and C on a line, then the length of segment AC is the sum of lengths AB and BC. This postulate is crucial for geometric proofs and understanding relationships between segment lengths.
Step-by-step explanation:
Segment Addition Postulate in Geometry
The Segment Addition Postulate is a concept in geometry that deals with the lengths of segments on a line. In essence, this postulate states that if you have three points, A, B, and C, lined up on a straight line in that order, then the distance from A to C is the sum of the distance from A to B and the distance from B to C. That is, if B is between A and C, then AB + BC = AC.
For example, imagine you have a line with points A, B, and C such that B is between A and C. If the length of AB is 5 cm and the length of BC is 3 cm, we can use the Segment Addition Postulate to find the total length of AC, which would be 5 cm + 3 cm = 8 cm.
This postulate is foundational for many geometric proofs and problems, and understanding it is crucial for tackling many topics in high school geometry.