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.