Chapter 2 Vocab For Glencoe Mathematics Geometry

Front 1

Biconditional

Back 1

The conjunction of a conditional statement and its converse

Front 2

Compound Statement

Back 2

The statement formed by joining two or more statements

Front 3

Conclusion

Back 3

In a conditional statement, the statement that immediatly follows the word then

Front 4

Conditional statement

Back 4

A statement that can be written in the form If then form.

Front 5

Conjecture

Back 5

An educated guess based on known information

Front 6

Conjunction

Back 6

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

Front 7

Contrapositive

Back 7

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

Front 8

Converse

Back 8

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

Front 9

Counterexample

Back 9

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

Front 10

Deductive Argument

Back 10

A proof formed by a group of algerbraic steps used to solve a problem.

Front 11

Deductive Reasoning

Back 11

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

Front 12

Disjunction

Back 12

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

Front 13

Hypothesis

Back 13

In a conditional statement, the statement that immediatly follows the word if.

Front 14

If-Then Statement

Back 14

A compound statement of the form "if a then b", where a and b are statements

Front 15

Inductive Reasoning

Back 15

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

Front 16

Inverse

Back 16

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

Front 17

Law of Detatchment

Back 17

If P -> Q is a true conditional and p is true, the q is also true.

Front 18

Law of Syllogism

Back 18

If P->Q and Q->R are true conditionals, then P->R is also true.

Front 19

Logically Equivalent

Back 19

Statements that have the same truth values.

Front 20

Negation

Back 20

If a statement is represented by p, then not p is the negation of the statement.

Front 21

Postulate

Back 21

A statement that describes a fundamental relationship between the basic terms of geometry. postulates are accepted as true without proof.

Front 22

Proof

Back 22

a logical argument in which each statement you make is supported by a statement that is accepted as true.

Front 23

Related Conditionals

Back 23

statements such as the converse, inverse, and contrapositive that are based on a given conditional statement.

Front 24

Statement

Back 24

Any sentence that is either true or false, but not both.

Front 25

Theorem

Back 25

A statement o conjecture that can be proven true by undefined terms, definitions, and postulates.

Front 26

Truth Table

Back 26

A table used as a Convenient method for organizing the truth values of statements.

Front 27

Truth Value

Back 27

The truth or falsity of a statement.

Front 28

Two-Column Proof

Back 28

A formal proof that contains statements and reasons organized in two columns. Each step is called a statement, and the properties that justify each step are called reasons.