Segments, Rays, Parallel Lines, and Planes Objectives: Define line segments and rays Properly name...
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Segments, Rays, Parallel Lines, and Planes Objectives: Objectives: Define line segments and rays Define line segments and rays Properly name line segments and rays Properly name line segments and rays Identify parallel lines and skew lines Identify parallel lines and skew lines
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Transcript of Segments, Rays, Parallel Lines, and Planes Objectives: Define line segments and rays Properly name...
Segments, Rays, Parallel Lines, and
PlanesObjectives:Objectives:
Define line segments and raysDefine line segments and rays
Properly name line segments and raysProperly name line segments and rays
Identify parallel lines and skew linesIdentify parallel lines and skew lines
Line Segments
A line segment is part of a line containing two A line segment is part of a line containing two endpoints and all points between them.endpoints and all points between them.
Unlike lines, which extend forever in both Unlike lines, which extend forever in both directions, line segments have a definite beginning directions, line segments have a definite beginning and endand end
A line segment is named with the endpointsA line segment is named with the endpoints
A B
AB or BA
RaysA ray is part of a line that consists of one endpoint A ray is part of a line that consists of one endpoint and all points of the line extending in one directionand all points of the line extending in one direction
Name a ray using the endpoint first and then another Name a ray using the endpoint first and then another point on the raypoint on the ray
When naming, make sure the arrow points away from When naming, make sure the arrow points away from the endpoint.the endpoint.
AB
AB NOT BA
Rays, continued
Are these two rays the same?Are these two rays the same?
AB
A
B
No• Different endpoints• Extend in different directions
BA
AB
Opposite Rays
Are two collinear rays with the same endpointAre two collinear rays with the same endpoint
Always form a lineAlways form a line
J KL
KJ and KL are opposite rays
Parallel Lines
Lines thatLines that
Never intersectNever intersect
Extend in the same directionsExtend in the same directions
CoplanarCoplanar
Skew linesLines that:Lines that:
Never intersectNever intersect
Are non-coplanarAre non-coplanar
Extend in different directionsExtend in different directions
Parallel PlanesParallel planes are planes that never intersectParallel planes are planes that never intersect
Example: the purple planes in the above illustrationExample: the purple planes in the above illustration
A line and plane that never intersect are also A line and plane that never intersect are also parallelparallel
Learning Check and Summary
Which of the following has no endpoints?Which of the following has no endpoints?
Ray, Line Segment, LineRay, Line Segment, Line
Which of the following has two endpoints?Which of the following has two endpoints?
Ray, Line Segment, LineRay, Line Segment, Line
Which of the following has one endpoint and extends in one Which of the following has one endpoint and extends in one direction?direction?
Ray, Line Segment, LineRay, Line Segment, Line
Which of the following extend in the same direction?Which of the following extend in the same direction?
Parallel lines, skew linesParallel lines, skew lines
Which of the following extend in different directions?Which of the following extend in different directions?
Parallel lines, skew linesParallel lines, skew lines
