Geometry

1
Geometry
2
Index
Introduction
Undefined terms
Line segment
Ray
Angle
3
What you already know about Geometry
4
Geometric Figures

• Triangle
• Square
• Rectangle
• Circle
• Cube

5
Formulas

• Perimeter
• Circumference
• Area
• Volume

6
Where Can You Find Geometry?
7

• Construction

8

• Maps

9

• Surveying

10

• Navigation

11
Organizational Structure of Geometry
12
Three kinds of statements used in Geometry

• Definitions
• Postulates
• Theorems

13
Definitions
14
Definitions - What makes a good definition?

• Must be precise.
• Avoids vague or nonmathematical terms such as
  some, about, small, or rounded.
• Places an object to be defined into a class of
  well-defined similar things.
• States how it differs from other things in that
  class.

15
Postulates

• A postulate is a collection of statements
  regarded as obviously true

16
Theorems

• A statement that can be proved by using
• Postulates
• Definitions
• Algebraic properties
• Rules of logic

17
Self-Test

• Name three things you already know about
  Geometry.
• Name three ways Geometry is used.
• What are the properties of a good definition?
• What is a theorem?
• What is a postulate?