1 4 segments rays parallel lines and planes
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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.

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1 4 segments rays parallel lines and planes
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
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

slide3
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
Rays, continued
  • Are these two rays the same?

B

AB

A

B

A

BA

  • No
  • Different endpoints
  • Extend in different directions
opposite rays
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
Parallel Lines
  • Lines that
    • Never intersect
    • Extend in the same directions
    • Coplanar
skew lines
Skew lines

Lines that:

  • Never intersect
  • Are noncoplanar
  • Extend in different directions
parallel planes
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
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
Exercises
  • P. 13-15 All
  • P. 253 All
  • P. 255 All
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