1.2 Points, Lines, and Planes

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1.2 Points, Lines, and Planes

• Chapter 1 Tools of Geometry

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1.2 Points, Lines, and Planes

• Point a location has no size represented by a
  small dot and is named by a capital letter
• Space set of all points

Line series of points that extends to two
opposite directions Collinear Points points
that lie on the same line
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• Are points E, F, and C collinear?
• If so, name the line on which they lie.
• Are points E, F, and D collinear?
• If so, name the line on which they lie.
• Are points F, P, and C collinear?
• If so, name the line on which they lie.
• Name line m in three other ways.

n
C
F
E
m
P
D
l
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• Plane Flat surface that has no thickness
  contains many points and lines named by a single
  capital letter or at least three of its
  noncollinear points
• Coplanar points and lines in the same plane

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• Each surface of the ice cube represents part of a
  plane. Name the plane represented by the front
  of the ice cube.

H
G
E
F
D
C
A
B
List three different names for the top of the ice
cube.
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• Postulate or axiom accepted statement of fact
• Postulate 1-1
• Through any two points there is exactly one
  line
• Postulate 1-2
• If two lines intersect, then they intersect in
  exactly one point.

B
A
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• Postulate 1-3
• If two planes intersect, then they intersect in
  exactly
• one line.
• Postulate 1-4
• Through any three noncollinear points there is
  exactly one plane.

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• What is the intersection of plane HGFE and plane
  BCGF?

H
G
E
F
D
C
A
B
Name two planes that intersect in BF
Look in book at example 4, page 13
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Homework

• Pg 13 1-37, 60-65