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Points lines planes.notebook
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August 02, 2011
Title of section
Geometry
Points, Lines and Planes
Geometry
Points, Lines and Planes
Points lines planes.notebook
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August 02, 2011
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Points, Lines and Planes are considered to be
undefined.
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May 610:23 AM
Descriptions of Point, Line and PlanePoint Line Plane
A location
No sizeA small dotA series of points
Extends in two opposite directions
A flat surface
Contains many lines
Named with a capital letterNamed with a lowercase letter
Contains infinitely many points
Pin page and use dual screen to drag descriptions to point, line and plane pages...
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Descriptions of points lines and planes
Point
Named with a capital letter
A location
No size
A small dot
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August 02, 2011
Descriptions of points lines and planes
Line
Named with a lowercase letter
Extends in two opposite directions
Contains infinitely many points
A series of points
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August 02, 2011
Descriptions of points lines and planes
Plane
Named with a capital letter
Contains infinitely many points
A flat surface
Contains many lines
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name the shape
AB
C
m
D
E F
P
Name the shapes
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definitions
Definitions
Space The set of all points
Collinear Points Points that lie on the same line
Coplanar Points and lines that lie in the same plane
Postulate or Axiom An accepted statement of fact
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plane on a cube
A B
C D
EF
GH
Each surface of a cube represents part of a plane.
Name each plane!
Use shape recognition pen to trace over each plane...
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Postulate 13
Postulate 13 If two planes intersect, then they intersect in exactly one line.
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Postulate 14
Postulate 14 Through any three noncollinear points there is exactly one plane.
A B
C D
EF
GH
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sometimes, always never
Use sometimes, always or never to fill in the blanks.
sometimes always never
1. Intersecting lines are __________ coplanar.
2. Two planes ___________intersect in exactly one point.
3. Three points are __________ coplanar.
4. Four points are ______________ coplanar.
CheckCheck
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Draw if possible
Draw, if possible...
Four collinear points
Two noncollinear points
Three noncollinear points
Three noncoplanar points