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Postulates and Paragraph ProofsPowerPoint Presentation

Postulates and Paragraph Proofs

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### Postulates and Paragraph Proofs

Section 2-5

- postulate or axiom – a statement that describes a fundamental relationship between the basic terms of geometry. Postulates are accepted as true.
- proof – a logical argument in which each statement you make is supported by a statement that is accepted as true.
- theorem – a statement or conjecture that has shown to be true.

Postulates

- 2.3 A line contains at least 2 points.
- 2.4 A plane contains at least 3 points not on the same line.
- 2.5 If 2 points lie in a plane, then the entire line containing those points lies in that plane.

- 2.6 If 2 lines intersect, then their intersection is exactly one point.
- 2.7 If 2 planes intersect, then their intersection is a line.

5 Parts of Good Proof exactly one point.

- State theorem or conjecture to be proved.
- List the given information.
- Draw a diagram if possible.
- State what is to be proved.
- Develop a system of deductive reasoning.