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15 Cards in this Set

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conditional statement
a statement that can be written in if-then 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
two-column 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.