Geometry Ch. 2 Terms

Term Definition
Algebraic Proof A proof that is made up of a series of algebraic statements
Axiom A statement that is accepted as true
Compound Statement A statement formed by joining two or more statements
Conclusion In a conditional statement, the statement that immediately follows the word then.
Conditional Statement A statement that can be written in if-then form
Conjecture An educated guess based on known information
Conjunction A compound statement formed by joining two or statements with the word and
Contrapositive The statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement
Converse The statement formed by exchanging the hypothesis and conclusion of a conditional statement.
Counterexample An example used to show that a given statement is not always true.
Deductive Argument A proof formed by a group pf algebraic steps used to solve a problem
Deductive Reasoning A system of reasoning that uses facts, rules, definitions, or properties to reach logical conclusions
Disjunction A compound statement formed by joining two or more statements with the word or
Formal Proof A two- column proof containing statements and reasoning
Hypothesis In a conditional statement, the statement that immediately follows the word if
If-Then Statement A compound statement of the form "if p, then q" where p and q are statements
Inductive Reasoning Reasoning that uses number specific examples to arrive at a plausible generalization or prediction (patterns)
Informal Proof Paragraph proof
Inverse The statement formed by negating both the hypothesis and conclusion of a conditional statement.
Logically Equivalent Statements that have the same truth values
Negation If a statement is represented by p, then not p is the negation of the statement
Paragraph Proof An informal proof written in the form of a paragraph proof that explains why a conjecture for the given situation is true
Postulate A statement that describes a fundamental relationship between the basic functions of geometry (accepted as true without proof)
Proof A logical argument in which each statement you make if supported by a statement that is accepted as true
Related Conditionals Statements that are based on a given conditional statement
Statement Any sentence that is either true or false, but not both.
Theorem A statement or conjecture that can be proven true by undefined terms, definitions, and postulates
Truth Table A table used as a convenient method for organizing the truth values of statements
Truth Value The truth or falsity of a statement
Two-Column Proof A formal proof that contains statements and reasons organized in two columns.

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