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H/H Geometry Ch. 2
H/H Geometry Ch. 2 Vocabulary
| Term | Definition |
|---|---|
| inductive reasoning | when you make conclusions based on patterns you observe |
| conjecture | a conclusion you reach using inductive reasoning |
| counterexample | an example that shows a conjecture is wrong |
| conditional | an if-then statement; p → q; if p, then q |
| hypothesis | the part of a condition following the word if; p |
| conclusion | the part of a condition following the word then; q |
| converse | switch the hypothesis and the conclusion; q → p; if q, then p |
| inverse | negate both the hypothesis and the conclusion of a conditional; ~p → ~q; if not p, then not q |
| contrapositive | negate both the hypothesis and the conclusion of the converse; ~q → ~p; if not q, then not p |
| biconditional | a single true statement that combines a true conditional and its true converse; p ↔ q; p if and only if q |
| deductive reasoning | the process of reasoning logically from given statements or facts to a conclusion |
| Law of Detachment | If the hypothesis of a true conditional is true, then the conclusion is true. |
| Law of Syllogism | Allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other statement. If p →q is true and q → r is true, then p → r is true. |
Created by:
pamfisher
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