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Geo Chap 2 vocab
Messenger
Question | Answer |
---|---|
Conclusion | The phrase immediately following the word then in a conditional statement. |
Conditional statement | A statement that can be written in if-then form. |
If-then statement | Written in the form if p, then q. |
Hypothesis | The phrase immediately following the word if in a conditional statement. |
Conjecture | An educated guess based on known information. |
Inductive reasoning | The Reasoning that uses a number of specific examples to arrive at a plausible generalization or prediction. |
Counterexample | The one false example that proves a conjecture false. |
Conditional | Given hypothesis and conclusion. |
Converse | Exchanging the hypothesis and conclusion of the conditional. |
Inverse | Negating both the hypothesis and conclusion of the conditional. |
Contrapositive | Negating both the hypothesis and conclusion of the converse statement. |
Deductive reasoning | Uses facts, rules, definitions, or properties to reach logical conclusions. |
Law of detachment | A form of deductive reasoning that says if p to q is true and p is true, then q is also true. |
Law of syllogism | A formof deductive reasoning that says if p to q and q to r are true, then p to r is also true. |
Postulate | A statement that is accepted as true (Also known as axiom). |
Theorem | A statement or conjecture that has been shown to be true. |