geometry chapter 2 terms. axiom also known as a postulate. a statement that describes a fundamental...
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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.
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