Front | Back |
Biconditional
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![]() Conjunction of two statements (conditional and its converse) |
Compound statement
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![]() Two or more statements that are joined together |
Conclusion
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![]() Phrase immediately following the word then |
Conditional statement
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![]() Statement that can be written in if-then form |
Conjecture
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![]() Educated guess based on known information |
Contrapositive
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![]() Negating both the hypothesis and conclusion of the converse statement |
Converse
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![]() Exchanging the hypothesis and conclusion of the conditional |
Counterexample
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False example
example: apples are red. apples are green. |
Deductive reasoning
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![]() Uses facts, rules, definitions, or properties to reach logical conclusions |
Hypothesis
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![]() The phrase immediately following the word if |
Inverse
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![]() Negating both the hypothesis and conclusion of the conditional |
Negation
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Has the opposite meaning as well as an opposite truth value
~p, read not p |
Properties
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![]() Ways you can manipulate a statement example: distributive property |
Theorem
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A statement of conjecture that has been shown to be true
example: 2.10- all right angles are congruent |
Alternate exterior angles
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![]() Opposite outside angles of the bread |