Geo 2.3 notes
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1 Conditional Statements Summary: Conditional: If ____, then ____ Converse: If _____, then ____ Negation: Not ____ Inverse: If ___ ___, then ___ ___ Contrapositive: If ___ ___, then ___ ___ Bi-conditional: ____ if and only if ____
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Inductive and deductive reasoning, along with the law of detachment!
Transcript of Geo 2.3 notes
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Conditional Statements Summary:
Conditional: If ____, then ____
Converse: If _____, then ____Negation: Not ____Inverse: If ___ ___, then ___ ___Contrapositive: If ___ ___, then ___ ___Bi-conditional: ____ if and only if ____
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Ex. 1) Write the following for the statement:If triangle ABC is equilateral, then it is isosceles.
Converse: _________________________________________________________________Negation: __________________________________________________________________Inverse: ___________________________________________________________________Contrapositive: _____________________________________________________________
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2.3 Deductive ReasoningEssential Question:What is the difference between inductive and deductive reasoning?
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Inductive and Deductive Reasoning
Inductive Reasoning:
Deductive Reasoning:
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Examples: Classify as inductive or deductive.1) You have seen 3 black cats today. All cats are black.
2) The final exam counts for 15% of your grade.
3) Your first quiz usually indicates your performance in the course.
4) California residents are residents of the United States.
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Law of Detachment
Law of Syllogism
p ⇒ q is true.p is true.∴ q is true.
p ⇒ q and q ⇒ r,∴ p ⇒ r.
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Classwork:
p. 96 #1-15 (odd)
