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# NorthCrawford GeoCh2

### Patterns and Inductive Reasoning

TermDefinition
Inductive Reasoning Reasoning based on patterns that you observed.
Conjecture Conclusion you reach using inductive reasoning.(An educated guess.)
Counterexample An example that shows the conjecture is incorrect.
Conditional An If-Then statement
Hypothesis the part following if. (p)
Conclusion the part following then. (q)
Negation the statement (p) is the opposite of the statement.
Converse Exchange the hypothesis and conclusion.
Inverse Negate both the hypothesis and the conclusion of the conditional.
Contrapositive Negate both the hypothesis and the conclusion of the converse.
Biconditional Single true statement that combines a true conditional and a true converse.
Deductive Reasoning Process of reasoning logically from given statements or facts.
Law of Syllogism Allows you to state a conclusion form true conditional statements when the conclusion of one statement is the hypothesis of another statement.
Reflexive Property a=a
Symmetric Property If a=b, then b=a.
Transitive Property If a=b and b=c, then a=c.
Theorem Statement proven true.
Truth Table Lists all the possible combinations of truth values for two or more statements.
Disjunction Connects two or more statements with or.
Conjunction Connects two or more statements with and.
Compound Statement Combines two or more statements.
Created by: mbuening