Chapter 2

Question 1

A conclusion you reach using inductive reasoning

Answer 1

Conjecture

Question 2

An example that shows that a conjecture is incorrect

Answer 2

Counterexample

Question 3

Reasoning based on patterns you observe

Answer 3

Inductive reasoning

Question 4

An IF-THEN statement

Answer 4

Conditional

Question 5

The part P following IF

Answer 5

Hypothesis

Question 6

The part Q following THEN

Answer 6

Conclusion

Question 7

The____ _______ of a conditional is either true or false.

Answer 7

Truth value

Question 8

The _______ of a statement P is the opposite of the statement.

Answer 8

Negation

Question 9

Exchange the hypothesis and the conclusion; If Q then P

Answer 9

Converse

Question 10

Negate both the hypothesis and the conclusion of the conditional; If not P then not Q

Answer 10

Inverse

Question 11

Negate both the hypothesis and the conclusion of the converse; If not Q then not P

Answer 11

Contrapositive

Question 12

Have the same truth value

Answer 12

Equivalent statements

Question 13

A single true statement that combines a true conditional and its true converse

Answer 13

Biconditional

Question 14

The process of reasoning logically from given statements or facts to a conclusion

Answer 14

Deductive reasoning (Logical reasoning)

Question 15

If the hypothesis of a true conditional is true, then the conclusion is true

Answer 15

Law of Detachment

Question 16

Allows you to state a conditional from two true conditional statements when the conclusion of one statement is the hypothesis of the other statement

Answer 16

Law of Syllogism

Question 17

A=A

Answer 17

Reflexive property

Question 18

If a=b then b=a

Answer 18

Symmetric property

Question 19

If a=b and b=c then a=c

Answer 19

Transitive property

Question 20

A convincing argument that uses deductive reasoning

Answer 20

Proof

Question 21

Lists each statement on the left and the justification on the right

Answer 21

Two-column proof

Question 22

A conjecture or statement that you prove true

Answer 22

Therom

Question 23

written as sentence in a paragraph

Answer 23

Paragraph proof