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Geometry Chapter 2 Terms

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Axiom Also known as a postulate. A statement that describes a fundamental relationship between the basic terms of geometry.

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Biconditional The conjunction of a conditional statement and its converse.

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Compound Statement A statement formed by joining two or more statements.

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

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Conditional Statement A statement that can be written in if-then form.

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Conjecture An educated guess based on known information.

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Conjunction A compound statement formed by joining two or more statements with the word and.

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

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Converse The statement formed by exchanging the hypothesis and conclusion of a conditional statement.

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Counterexample An example used to show that a given statement is not always true.

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Deductive Argument A proof formed by a group of algebraic steps used to solve a problem.

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

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Disjunction A compound statement formed by joining two or more statements with the word or.

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Formal Proof Also known as a two-column proof. Contains statements (each step) and reasons (properties that justify each step) organized in two columns.

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

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If-then Statement A compound statement of the form if A, then B, where A and B are statements.

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Inductive Reasoning Reasoning that uses a number of specific examples to arrive at a plausible generalization or prediction. Conclusions arrived at by this lack the logical certainty of those arrived at by deductive reasoning.

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Informal Proof Also known as a paragraph proof. For this type you write a paragraph to explain why a conjecture for a given situation is true.

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

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Law of Detachment Also known as a postulate. A statement that describes a fundamental relationship between the basic terms of geometry.

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Law of Syllogism Also known as a postulate. A statement that describes a fundamental relationship between the basic terms of geometry.

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Logically Equivalent Also known as a postulate. A statement that describes a fundamental relationship between the basic terms of geometry.

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Negation Also known as a postulate. A statement that describes a fundamental relationship between the basic terms of geometry.

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Paragraph Proof Also known as a postulate. A statement that describes a fundamental relationship between the basic terms of geometry.

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Postulate Also known as a postulate. A statement that describes a fundamental relationship between the basic terms of geometry.

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Proof Also known as a postulate. A statement that describes a fundamental relationship between the basic terms of geometry.

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Related Conditionals Also known as a postulate. A statement that describes a fundamental relationship between the basic terms of geometry.

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Statement Also known as a postulate. A statement that describes a fundamental relationship between the basic terms of geometry.

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Theorem Also known as a postulate. A statement that describes a fundamental relationship between the basic terms of geometry.

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Truth Table Also known as a postulate. A statement that describes a fundamental relationship between the basic terms of geometry.

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Truth Value Also known as a postulate. A statement that describes a fundamental relationship between the basic terms of geometry.

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Two-Column Proof Also known as a postulate. A statement that describes a fundamental relationship between the basic terms of geometry.

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