Chapter 2

Question 1

Algebraic proof

Answer 1

A proof made up of a series of algebraic statements.

Question 2

Axiom

Answer 2

Postulate–a statement that is accepted as true without proof

Question 3

Compound statement

Answer 3

Two or more statements joined by the words and or or

Question 4

Conclusion

Answer 4

The phrase immediately following the word then

Question 5

Conditional statement

Answer 5

Is a statement that can be written in the if-then form

Question 6

Conjecture

Answer 6

A concluding statement reached using inductive reasoning

Question 7

Conjunction

Answer 7

A compound statement using the word and

Question 8

Contrapositive

Answer 8

Formed by negating both the hypothesis and the conclusion of the converse of the conditional

Question 9

Converse

Answer 9

Formed by exchanging the hypothesis and the conclusion of the conditional

Question 10

Counter example

Answer 10

A false example that is a number drawing or example

Question 11

Deductive argument

Answer 11

Created by forming a logical chain of statements linking the give to what you are trying to prove

Question 12

Deductive reasoning

Answer 12

Uses facts rules definitions or properties to reach logical conclusions from given statements

Question 13

Disjunction

Answer 13

A compound statement that uses the word or

Question 14

Formal proof

Answer 14

Contains statements and reasons organized into two columns

Question 15

Hypothesis

Answer 15

The phrase immediately following the word if

Question 16

If then statement

Answer 16

The form of if P then Q

Question 17

Inductive reasoning

Answer 17

Reasoning that uses a number of specific examples to arrive at a conclusion

Question 18

Informal proof

Answer 18

Involves writing a paragraph to explain why a conjecture for a given situation is true

Question 19

Inverse

Answer 19

Formed by negating both the hypothesis and the conclusion of the conditional

Question 20

Logically equivalent

Answer 20

Statements with the same truth values

Question 21

Negation

Answer 21

The opposite meaning of a statement and opposite truth value

Question 22

Postulate

Answer 22

A statement that is accepted as true without proof

Question 23

Proof

Answer 23

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

Question 24

Related conditionals

Answer 24

Other statements that are based on a given conditional statement

Question 25

Theorem

Answer 25

A statement or conjecture that has been proven and can be used as a reason to justify statements in other proofs

Question 26

Truth table

Answer 26

A convenient method for organizing the truth of statements

Question 27

Truth value

Answer 27

Either true or false

Question 28

Two column proof

Answer 28

Contains statements and reasons organized in two columns

Question 29

Biconditional

Answer 29

When the conditional and converse are true