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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
|
Phrase immediately following the word then |
Conditional statement
|
Statement that can be written in if-then form |
Conjecture
|
Educated guess based on known information |
Contrapositive
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Negating both the hypothesis and conclusion of the converse statement |
Converse
|
Exchanging the hypothesis and conclusion of the conditional |
Counterexample
|
False example
example: apples are red. apples are green. |
Deductive reasoning
|
Uses facts, rules, definitions, or properties to reach logical conclusions |
Hypothesis
|
The phrase immediately following the word if |
Inverse
|
Negating both the hypothesis and conclusion of the conditional |
Negation
|
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
|
A statement of conjecture that has been shown to be true
example: 2.10- all right angles are congruent |
Alternate exterior angles
|
Opposite outside angles of the bread |