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Honors Geometry

Explore the meaning of "proof" in geometry, learn deductive reasoning, two-column proofs, and the importance of valid conclusions derived from premises. Understand the process of establishing the validity of statements through reasoning.

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Honors Geometry

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  1. Honors Geometry Intro to Proof

  2. Honors Geometry • What does it mean to “prove” something? • Work with your elbow partner to come up with a working definition. Be prepared to share!

  3. Honors Geometry • “Prove” – to establish the truth or validity of by evidence or demonstration

  4. Honors Geometry • “Prove” – to establish the truth or validity of by evidence or demonstration • “Proof” – the process of or an instance of establishing the validity of a statement especially by derivation from other statements in accordance with accepted or stipulated principles of reasoning

  5. Honors Geometry • Two-Column proofdeductive reasoning • General to specific • Prove statements by reasoning from postulates, definitions, theorems, and given information • Also Paragraph proof and Flowchart proof coming soon!

  6. Honors Geometry • Reason (-ing): Statement offered in explanation or justification

  7. Honors Geometry • Reason (-ing): Statement offered in explanation or justification • Valid: Conclusion correctly derived from premises

  8. Honors Geometry • Reason (-ing): Statement offered in explanation or justification • Valid: Conclusion correctly derived from premises • Derive (d, -ation): a sequence of statements showing that a result is a necessary consequence of previously accepted statements

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