2.1

Question 1

an example that proves that a conjecture or statement is false

Answer 1

counterexample

Question 2

a statement that is believed to be true

Answer 2

conjecture

Question 3

a statement that can be written in the form “if p, then q,” is the hypothesis of the statement and q is the conclusion.

Answer 3

conditional statement

Question 4

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

Answer 4

converse

Question 5

a statement formed by negating the hypothesis and conclusion of a conditional statement

Answer 5

inverse

Question 6

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

Answer 6

Contrapositive

Question 7

a statement that can be written in the form “p if and only if q” where p is the hypothesis and q is the conclusion.

Answer 7

biconditional statement

Question 8

biconditional statements can be used to write

Answer 8

definitions

Question 9

a statement that describes a mathematical object and can be written as a true biconditional statement

Answer 9

Definition