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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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INDUCTIVE REASONING AND CONJECTURE. DEFINITIONS Conjecture: a best guess based on known information. Inductive Reasoning: using specific examples to arrive.

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