The segment addition postulate explains how points on a line segment relate to each other in terms of their distances. It can be demonstrated using a physical object like a marked stick to show how lengths add up along a segment.
The segment addition postulate states that if you have a line segment with three points, then the middle point must be the sum of the lengths of the two smaller line segments. This can be modeled using a real-world object such as a wooden stick with markings at different lengths. For example, if a stick is 10 inches long and is marked at 4 inches and 6 inches, the point at 4 inches when added to the point at 6 inches equals the overall length of 10 inches.
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