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What does segment addition postulate mean?
- Segment addition postulate
- In geometry, the Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC. This is related to the triangle inequality, which states that AB + BC ≥ {\displaystyle \geq } AC with equality if and only if A, B, and C are collinear (on the same line). This in turn is equivalent to the proposition that the shortest distance between two points lies on a straight line. The segment addition postulate is often useful in proving results on the congruence of segments.
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"segment addition postulate." Abbreviations.com. STANDS4 LLC, 2024. Web. 14 May 2024. <https://www.abbreviations.com/segment%20addition%20postulate>.
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