Basic Postulates of Geometry

1
Basic Postulates of Geometry

• Objectives
• You will be able to define the basic terms of
  geometry.
• You will be able to identify the basic terms of
  geometry.
• You will be able to restate basic postulates of
  geometry.

2
What are the following?

• Point
• Space
• Line
• Collinear points
• Plane
• Coplanar

3
Identify the Collinear Points
n
C
F
m
D
E
P
l

• Are points E, F, and D collinear?
• Name line m in 3 other ways.
• Why do we use arrows to denote a line?

4
How do you name a plane?
5
Postulate or axiom?

• An accepted statement of fact

6
Postulate 1 1

• Through any 2 points there is exactly 1 line.
• Line t is the ONLY line that passes through
  points A and B

t
B
A
7
Solving Systems of Equations

• y -2x 8
• y 3x - 7

8
Postulate 1 2

• If two lines intersect, then they intersect in
  exactly one point.

B
A
D
C
9
Postulate 1 3

• If two planes intersect, then they intersect in
  exactly one line.

G
A
F
C
H
B
D
E
10
Postulate 1 4

• Through any three noncollinear points there is
  exactly one plane.