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2-4 Deductive Reasoning

2-4 Deductive Reasoning. Honors Geometry. Vocabulary . Deductive Reasoning Law of Detachment Law of Syllogism. Law of Detachment. If p → q is TRUE and p is TRUE then q is also TRUE CD teachers have an in-service on October 3 rd . Mr. Fields is a CD teacher.

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2-4 Deductive Reasoning

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  1. 2-4 Deductive Reasoning Honors Geometry

  2. Vocabulary • Deductive Reasoning • Law of Detachment • Law of Syllogism

  3. Law of Detachment • If p → q is TRUE and p is TRUE then q is also TRUE • CD teachers have an in-service on October 3rd. • Mr. Fields is a CD teacher. • Mr. Fields has an in-service on October 3rd.

  4. Example • Using Law of Detachment, come up with conclusions for the following: • The football team has a game on Friday. • Micah Parsons is a member of the football team. • All cars have 4 wheels. • A Honda Accord is a car.

  5. Example • Using Law of Detachment, come up with conclusions for the following: • The football team has a game on Friday. • Micah Parsons is a member of the football team. • Micah Parsons has a game on Friday. • All cars have 4 wheels. • A Honda Accord is a car. • A Honda Accord has 4 wheels.

  6. Law of Syllogism • If p → q and q → r is TRUE, then p → r is TRUE. • If you wear a sleeveless shirt and violate the dress code you will need to go to the office. • If you go to the office you will need to change your clothes. • If you wear a sleeveless shirt and violate the dress code you will need to change your clothes.

  7. Law of Syllogism • If p →q and q → ris TRUE, then p→r is TRUE. • If you wear a sleeveless shirt and violate the dress code you will need to go to the office. • If you go to the office you will need to change your clothes. • If you wear a sleeveless shirt and violate the dress code you will need to change your clothes.

  8. Ex last one: • Using Law of Syllogism, come up with a valid conclusion for the following: • If you attend CDHS then your mascot is the ram. • If your mascot is the ram, then your colors are green and white. • Perpendicular lines create right angles. • Right angles measure 90˚.

  9. Ex last one: • Using Law of Syllogism, come up with a valid conclusion for the following: • If you attend CDHS then your mascot is the ram. • If your mascot is the ram, then your colors are green and white. • If you attend CDHS, then your colors are green and white. • Perpendicular lines create right angles. • Right angles measure 90˚. • Perpendicular lines create angles that measure 90˚.

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