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Understanding Line Segments and Postulates in Geometry

This guide explores fundamental concepts in geometry, specifically focusing on measuring segments and essential postulates. It introduces the Ruler Postulate, which establishes a correspondence between points on a line and real numbers, enabling the calculation of distances. It also covers the Segment Addition Postulate, which explains how to find the total length of collinear segments. Key vocabulary includes 'coordinate', 'congruent segments', and 'midpoint', helping to clarify these geometric principles for students and learners.

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Understanding Line Segments and Postulates in Geometry

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  1. Measuring Segments Postulate 1-5 Ruler Postulate The points of a line can be put into one-to-one correspondence with the real numbers so that the distance between any two points is the absolute value of the difference of the corresponding numbers.

  2. Postulate 1-6 Segment Addition Postulate • If three points A,B, and C are collinear and B is between A and C, then AB + BC = AC.

  3. Vocabulary • Coordinate - the point’s distance and direction from the origin of a number line. • Congruent segments – segments with the same length • Midpoint – a point that divides the segment into two congruent segments.

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