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Postulates and Paragraph Proofs

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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  1. Postulates and Paragraph Proofs Section 2-5

  2. 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.

  3. 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.

  4. 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. Midpoint Theorem (2.8) • If M is the midpoint of , then B M A

  6. 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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