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Section 1-3

Section 1-3. Segments, Rays, and Distance. X. Z. Segment. Piece of a line Has two endpoints It is named using the two endpoints,. X. Z. Ray. Part of a line Extends indefinitely in one direction. It has exactly one endpoint. It is named using the endpoint first,. X. Y. Z.

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Section 1-3

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  1. Section 1-3 Segments, Rays, and Distance

  2. X Z Segment • Piece of a line • Has two endpoints • It is named using the two endpoints,

  3. X Z Ray • Part of a line • Extends indefinitely in one direction. It has exactly one endpoint. • It is named using the endpoint first,

  4. X Y Z Opposite Rays • Formed by three collinear points • Share the same endpoint • For example, Y is between X and Z so and are opposite rays

  5. Length • Distance between two points • Length is denoted for as XZ • Must be a positive number! • On a number line: • Find the absolute value of the difference of the coordinates

  6. A C B SEGMENT addition postulate • If B is between A and C, then AB + BC = AC

  7. Congruent: • Same size and same shape

  8. Lengths are = Segments are

  9. 4 4 Midpoint of a segment • Point that divides the segment into two congruent segments A B M M is the midpoint of

  10. Bisector of a segment • Can be a line, segment, ray or plane that intersects the segment at its midpoint

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