The Segment Addition Postulate in geometry specifies that if you have three points, A, B, and C, point B lies on the line segment AC if the equation AB + BC = AC holds true.

The Segment Addition Postulate is employed in geometry to determine collinearity, allowing us to verify if a point B lies directly on the line segment spanning two other points, A and C, by checking if AB + BC equals AC.

The Segment Addition Postulate is crucial in geometry as it provides a fundamental way to prove that a point lies on a line segment, which is essential for building more complex geometric proofs and constructions.

Yes, while commonly used in one-dimensional problems, the Segment Addition Postulate can also apply in three-dimensional geometry by assessing the sum of distances between points lying on a straight path.

To visualize the Segment Addition Postulate, imagine a straight line segment AC, with B being a point on this line; if the lengths AB and BC add up to AC, then B is correctly positioned on segment AC.