Do Now Determine how a conclusion was made (by observing a pattern, facts being provided, something that is repeated, etc.) 1. Every time Katie has worn.

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Presentation transcript:

Do Now Determine how a conclusion was made (by observing a pattern, facts being provided, something that is repeated, etc.) 1. Every time Katie has worn her favorite socks to a softball game, she has gotten at least one hit. Katie is wearing her favorite socks to a game tonight, so she concludes that she will get at least one hit. 2. If John is late making his car insurance payment, he will be assessed a late fee of $50. John’s payment is late this month, so he concludes that he will be assessed a late fee of $50.

Deductive Reasoning A reasoning that is based on facts, rules, definitions, or properties to reach a logical conclusion from given statements/information. What is inductive reasoning based on?

Compare/Contrast Compare and contrast inductive and deductive reasoning with your group. Be ready to share your answers with the class.

Compare/Contrast

Law of Detachment Based on the given information, what conclusion, if any, can be drawn. 1. Given: If a car is out of gas, then it will not start. Sarah’s car is out of gas. Conclusion: 2. Given: If two angles form a linear pair, then their noncommon sides are opposite rays. ∠AED and ∠AEB form a linear pair

Law of Detachment If p → q is a true statement and p is true, then q is true. p is your hypothesis q is your conclusion (of the true conditional)

Law of Detachment Based on the given information, what conclusion, if any, can be drawn. 1. Given: If a car is out of gas, then it will not start. Sarah’s car is out of gas. Conclusion: Sarah’s car will not start. 2. Given: If two angles form a linear pair, then their noncommon sides are opposite rays. ∠AED and ∠AEB form a linear pair Conclusion: ED and EB are opposite rays.