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H/H Geometry Ch. 2

H/H Geometry Ch. 2 Vocabulary

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