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.
Understanding Segments, Rays, Parallel and Skew Lines, and Planes: Definitions and Applications
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Presentation Transcript
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.
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.
Definitions • Skew lines- non coplanar lines which do not intersect. • Parallel planes- planes that never intersect
Find a pair of parallel lines • Skew Lines: • Parallel planes: • Where does plane ABD and plane EHD intersect?
Find three segments: • Find three rays: • Name the line in three ways: • Name a pair of opposite rays:
Homework • Pg 19 #5-7, 14-31, 55
