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Geometry Notes

Geometry Notes. Section 2-4. What you’ll learn. How to use the Law of Detachment How to use the Law of Syllogism. Vocabulary . Deductive reasoning Law of Detachment Law of Syllogism. Deductive Reasoning. DEFN Deductive Reasoning :

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Geometry Notes

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  1. Geometry Notes Section 2-4

  2. What you’ll learn • How to use the Law of Detachment • How to use the Law of Syllogism

  3. Vocabulary • Deductive reasoning • Law of Detachment • Law of Syllogism

  4. Deductive Reasoning • DEFN Deductive Reasoning: • An argument that uses facts, rules, definitions or properties to reach a logical conclusion • Two basic forms of deductive reasoning are: • Law of Detachment • Law of Syllogism

  5. Examples of Deductive Reasoning • First we need facts, rules, definitions or properties to work with. • Interesting Facts: • All geometry students love TAB. • KJ is a geometry student. • What is a logical conclusion based on that information? • KJ loves TAB. • Let’s build on our interesting facts. . .

  6. Examples of Deductive Reasoning Continued • Interesting Facts: • All geometry students love TAB. • KJ is a geometry student. • Stacy is a history student. • Any new conclusions? • Why not? Nope. History student has nothing to connect to • Let’s continue building our interesting facts.

  7. Interesting Facts: • All geometry students love TAB. • KJ is a geometry student. • Stacy is a history student. • Geometry students who love TAB have been known to steal one. • Any new conclusions? • What? • Let’s continue building our interesting facts.

  8. Interesting Facts: • All geometry students love TAB. • KJ is a geometry student. • Stacy is a history student. • Geometry students who love TAB have been known to steal one. • KJ is a history student too . • Any new conclusions? • Why not? • Let’s continue building our interesting facts.

  9. Interesting Facts: • All geometry students love TAB. • KJ is a geometry student. • Stacy is a history student. • Geometry students who love TAB have been known to steal one. • KJ is a history student too. • Students who steal TAB carry it in their bookbag. • Any new conclusions? • What is it?

  10. Interesting Facts: • All geometry students love TAB. • KJ is a geometry student. • Stacy is a history student. • Geometry students who love TAB have been known to steal one. • KJ is a history student too. • Students who steal TAB hide it in their bookbag.

  11. Have you learned. . . Or did we? Hey! We didn’t do these! • How to use the Law of Detachment? • How to use the Law of Syllogism? • Assignment: Worksheet 2.4

  12. Law of Detachment • Given p→q and p as true therefore q must be true. p→q p q   • What part of our argument illustrates the Law of Detachment?

  13. Law of Syllogism • Given p→q and q →r as true therefore p→r must be true. p→q q →r p→r   • What part of our argument illustrates the Law of Syllogism?

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