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15 Cards in this Set
 Front
 Back
conditional statement

a statement that can be written in ifthen form


conjecture

an educated guess based on known information


converse

the statement formed by exchanging the hypothesis and conclusion of a conditional statement


inverse

the statement formed by negating both the hypothesis and conclusion of a conditional statement


contrapositive

the statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement


law of detachment

If p>q is a true conditional and p is true, then q is also true


law of syllogism

If p>q and q>r are true conditionals, then p>r is also true


postulate

A statement that describes a fundamental relationship between the basic terms of geometry, and are accepted as true without proof.


theorem

A statement or conjecture that can be proven true by undefined terms, definitions, and postulates


twocolumn proof

A formal group of statements and reasons organized in two columns. Each step is called a statement, and the properties that justify each step are called reasons.


proof

A logical argument in which each statement you make is supported by a statement that is accepted as true


inductive reasoning

reasoning that uses a specific number of examples to arrive at a plausible generalization or prediction


deductive reasoning

A system of reasoning that uses facts, rules, definitions, or properties to reach logical conclusions


hypothesis

In a conditional statement, the statement that immediately follows the word if.


conclusion

In a conditional statement, the statement that immediately follows the word then.
