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Unit 2-1 to 2-6

Pearson Geometry Unit 2

TermDefinition
Conjecture a conclusion reached by using inductive reasoning; can be true or false.
Counterexample an example that shows that a conjecture is false. You can prove that a conjecture is false by finding one.
Inductive reasoning a type of reasoning that reaches conclusions based on a pattern of specific examples or past events
Conclusion the phrase of an if-then statement (conditional) that follows then
Conditional an if-then statement
Contrapositive reverses the order of the hypothesis and the conclusion in a conditional and negates them both
Converse reverses the order of the hypothesis of a conditional and the conclusion.
Equivalent statements statements that have the same truth value.
Hypothesis the phrase of an if-then statement (conditional) that follows if
Inverse negates both the hypothesis and the conclusion of the conditional.
Negation the opposite of the statement p, written as ~p, and read “not p.”
Deductive reasoning the process of reasoning logically from given statements or facts to a conclusion
Law of Detachment a law of deductive reasoning that allows you to state a conclusion is true, if the hypothesis of a true conditional is true
Law of Syllogism a law of deductive reasoning that allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other statement
Biconditional a single true statement that combines a true conditional and its true converse; written by joining the two parts of each conditional with the phrase if and only if.
Created by: meminot