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Segments, Rays, Parallel Lines, and Planes

Segments, Rays, Parallel Lines, and Planes. During this lesson, you will: Identify segments and rays Recognize parallel lines. Vocabulary. A segment is a part of a line. consisting of two endpoints and all the points between them.

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Segments, Rays, Parallel Lines, and Planes

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  1. Segments, Rays, Parallel Lines, and Planes During this lesson, you will: • Identify segments and rays • Recognize parallel lines

  2. Vocabulary A segment is a part of a line consisting of two endpoints and all the points between them. A ray is a part of a line consisting of one endpoint and all the points of the line on one side of the endpoint. Opposite rays are two collinear rays with the same endpoint. They always form a line.

  3. H G E F C D B A Parallel lines are two or more coplanarlines that do not intersect. Symbol: || Skew lines are non coplanar lines. They are not || and do not intersect. Parallel planes are planes that do not intersect.

  4. B A AB and BA means segment AB. Naming Segments and Rays Segments are named by their endpoints with a bar on the top.

  5. AB AC BC C B A BA & BC A ray is named by its endpoint first, Alert! Two rays which have different endpoints and/or different direction are considered to be different rays. Alert! Two rays which share a common endpoint, as well as the same direction are considered to be the same ray. • followed by any other point on • the ray • labeled with an arrow, which • always points to the right, above the two letters. means ray AB. is the same ray. is a different ray. are opposite rays.

  6. Example #1 Name all the segments in the picture. A B C AB BC BA BC Given points A, B, and C, Example #2 Name all the rays in the picture.

  7. H G E F C D B A HD GC FB CD HG BC FG Identifying Parallel and Skew Lines Example #3 Name all segments that are parallel to AE. Example #4 Name all segments that are skew to AE.

  8. H G E F C D B A Identifying Parallel Lines Example #5 The picture shows an example of 3 pairs of parallel planes. Name them. plane AEFB and plane DHGC plane AEHD and plane BFGC plane EFGH and plane ABCD

  9. Final Checks for Understanding • Describe what each of these symbols means: PQ, PQ, PQ, QP • Sketch a line that contains point R between points S and T. Which of the following are true? • a. SR is the same as ST • b. SR is the same as RT • c. RS is the same as TS • d. RS and RT are opposite rays • e. ST is the same as TS • f. ST is the same as TS T R S

  10. HOMEWORK ASSIGNMENT: PAGE 19, TEXTBOOK:1-7, 11-16, 21-47, 50, 52-54

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