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.

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Postulates and Paragraph Proofs

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Postulates and paragraph proofs

Postulates and Paragraph Proofs

Section 2-5


Postulates and paragraph proofs

  • 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

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.


Postulates and paragraph proofs

  • 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.


Midpoint theorem 2 8

Midpoint Theorem (2.8)

  • If M is the midpoint of , then

B

M

A


5 parts of good proof

5 Parts of Good Proof

  • 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.


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