 Geometry Chapter 2 Terms.

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Geometry Chapter 2 Terms

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

Biconditional The conjunction of a conditional statement and its converse.

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

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

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

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.

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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