1-4 Segments, Rays, Parallel Lines, and Planes

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# 1-4 Segments, Rays, Parallel Lines, and Planes - PowerPoint PPT Presentation

1-4 Segments, Rays, Parallel Lines, and Planes. Objectives: Define line segments and rays Properly name line segments and rays Identify parallel lines and skew lines. Line Segments. B. A. A line segment is part of a line containing two endpoints and all points between them.

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1-4 Segments, Rays, Parallel Lines, and Planes

Objectives:

• Define line segments and rays
• Properly name line segments and rays
• Identify parallel lines and skew lines
Line Segments

B

A

• A line segment is part of a line containing two endpoints and all points between them.
• Unlike lines, which extend forever in both directions, line segments have a definite beginning and end
• A line segment is named with the endpoints

AB or BA

Rays
• A ray is part of a line that consists of one endpoint and all points of the line extending in one direction
• Name a ray using the endpoint first and then another point on the ray
• When naming, make sure the arrow points away from the endpoint.

B

A

AB , not BA

Rays, continued
• Are these two rays the same?

B

AB

A

B

A

BA

• No
• Different endpoints
• Extend in different directions
Opposite Rays
• Are two collinear rays with the same endpoint
• Always form a line

J

K

L

KJ and KL are opposite rays

Parallel Lines
• Lines that
• Never intersect
• Extend in the same directions
• Coplanar
Skew lines

Lines that:

• Never intersect
• Are noncoplanar
• Extend in different directions
Parallel Planes
• Parallel planes are planes that never intersect
• Example: the purple planes in the above illustration
• A line and plane that never intersect are also parallel
Learning Check and Summary
• Which of the following has no endpoints?
• Ray, Line Segment, Line
• Which of the following has two endpoints?
• Ray, Line Segment, Line
• Which of the following has one endpoint and extends in one direction?
• Ray, Line Segment, Line
• Which of the following extend in the same direction?
• Parallel lines, skew lines
• Which of the following extend in different directions?
• Parallel lines, skew lines
Exercises
• P. 13-15 All
• P. 253 All
• P. 255 All