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# 2.6 - 2-6 Betweenness Segments and Rays A Between a Example...

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2-6 Betweenness, Segments and Rays A) Between a. Example of between: b. Example of not between: c. Definition i. B is between A and C if 1. A, B, and C are different points of the same line, and 2. AB + BC = AC. B) Theorem 2-3 a. Let A, B, and C be points of a line, with coordinates x, y, and z respectively. If z y x . . , then A-B-C. b. Example: C) Draw a line with three points. a. One point is always _________

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b. Theorem 2-4 i. If A, B, and C are three different points of the same line, then exactly one of them is between the other two. D) Postulate 4: The Line Postulate a. For every two different points there is exactly one line that contains both points i. However you draw two points, there is one that goes thru them ii. The shortest distance between two points is a straight line\ iii. Notation: E) Segment a. For any two points A and B, the segment AB is the union of A and B, and all points that are between A and B. i. ii. The points A and B are called the

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2.6 - 2-6 Betweenness Segments and Rays A Between a Example...

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