2.3 Student notesdoc - Taje' McCauley.doc

# 2.3 Student notesdoc - Taje' McCauley.doc - 2.3 Apply...

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2.3 Apply Deductive Reasoning Standard: G.LP.1: Understand and describe the structure of and relationships within an axiomatic system (undefined  terms, definitions, axioms and postulates, methods of reasoning, and theorems). Understand the differences among  supporting evidence, counterexamples, and actual proofs. Objective • Form logical arguments using deductive reasoning. Your Notes VOCABULARY Deductive Reasoning _______________________________________________________________________ _______________________________________________________________________ LAWS OF LOGIC Law of Detachment If the hypothesis of a true conditional statement is true, then the _______________ is also true. Law of Syllogism If hypothesis p , then conclusion q. If hypothesis q, then conclusion r. If these statements are true, If hypothesis p, then conclusion r. then this statement is true. Example 1 Use the Law of Detachment Use the Law of Detachment to make a valid conclusion in the true situation. a. If two angles have the same measure, then they are congruent. You know that m A = m B. b. Jesse goes to the gym every weekday. Today is Monday. Solution a. Because m A = m B satisfies the hypothesis of a true conditional statement, the conclusion is also true.

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• Fall '17
• KATHRYN TRAVERS

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