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Section 2.3 – Apply Deductive Reasoning

Section 2.3 – Apply Deductive Reasoning . HW #9 pg. 90 #4-10, 12. Deductive Reasoning . If Nathan is enrolled at Del Rio High School, then Nathan has an ID number. Does Nathan have an ID number?. Deductive Reasoning.

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Section 2.3 – Apply Deductive Reasoning

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  1. Section 2.3 – Apply Deductive Reasoning HW #9 pg. 90 #4-10, 12

  2. Deductive Reasoning • If Nathan is enrolled at Del Rio High School, then Nathan has an ID number. • Does Nathan have an ID number?

  3. Deductive Reasoning • Uses facts, definitions, accepted properties, and laws of logic to form a logical argument.

  4. Law of Detachment • If the hypothesis is true, then the conclusion must be true • Mary goes to the movies every Friday and Saturday night. Today is Friday. Is Mary going to the movies?

  5. Example • If two angles are right angles, then they are congruent. Angle C and D are right angles. What can you conclude?

  6. Law of Syllogism • Example • If Rick takes chemistry this year, then Jesse will be Rick’s lab partner. If Jesse is Rick’s lab partner, then Rick will pass chemistry. • How can we condense this?

  7. Example • Use the Law of Syllogism to write a new statement. • If Joe takes Geometry this year, then he will take Algebra II next year. If Joe takes Algebra II next year, then he will graduate.

  8. Review! • Two types of laws of logic: • Law of Detachment • Ex: If two segments have the same length, then they are congruent. You know that BC = XY (they have the same measure). • Law of Syllogism • If , then . If , then

  9. Which is Which?? • State the law of logic that is illustrated • If you get an A on your math test, then you can go to the movies. If you go to the movies, then you can watch your favorite actor. Conclusion: If you get an A on your math test, then you can watch your favorite actor. • If , then . The value of is . Conclusion:

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