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Understanding Segments, Rays, Parallel and Skew Lines, and Planes: Definitions and Applications

This guide covers fundamental concepts in geometry, including segments, rays, parallel lines, skew lines, and parallel planes. A segment is defined as a part of a line with two endpoints, while a ray extends infinitely from one endpoint. The text explains opposite rays that form a line, parallel lines that never meet, and skew lines that are non-coplanar. The document also includes exercises to find segments, rays, and pairs of opposite rays, as well as the intersection of planes. Enhance your geometry skills with clear definitions and practices.

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Understanding Segments, Rays, Parallel and Skew Lines, and Planes: Definitions and Applications

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  1. Segments, Rays, Parallell Lines and Planes 1-3

  2. Definitions • Segment- a segment is a part of a line which contains two endpoints and all of the points between. • Ray- A ray is a part of a line consisting of only one endpoint, and extending infinitely in the opposite direction.

  3. Definitions • Opposite rays- Two collinear rays with the same endpoint. Opposite rays always form a line. • Parallel lines- two coplanar lines that do not intersect.

  4. Definitions • Skew lines- non coplanar lines which do not intersect. • Parallel planes- planes that never intersect

  5. Find a pair of parallel lines • Skew Lines: • Parallel planes: • Where does plane ABD and plane EHD intersect?

  6. Find three segments: • Find three rays: • Name the line in three ways: • Name a pair of opposite rays:

  7. Homework • Pg 19 #5-7, 14-31, 55

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