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# Postulates and Paragraph Proofs - PowerPoint PPT Presentation

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.

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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.

• 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.

Midpoint Theorem (2.8) exactly one point.

• If M is the midpoint of , then

B

M

A

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.