Math Vocab Chapter 2

A statement that contains the phrase “if and only

if”

• biconditional statement

• conclusion

• conditional statement

• conjecture

The “then” part of a conditional statement written

in if-then form

• conjecture

• conclusion

• conditional statement

• conjecture

A logical statement that has a hypothesis and a

conclusion

• contrapositive

• converse

• conditional statement

• conjecture

An unproven statement that is based on

observations

• contrapositive

• converse

• counterexample

• conjecture

The statement formed by negating both the

hypothesis and conclusion of the converse of a

conditional statement

• contrapositive

• converse

• counterexample

• deductive reasoning

The statement formed by exchanging the

hypothesis and conclusion of a conditional

statement

• biconditional statement

• converse

• counterexample

• deductive reasoning

A specific case for which a conjecture is false

• biconditional statement

• conclusion

• counterexample

• deductive reasoning

A process that uses facts, definitions, accepted

properties, and the laws of logic to form a logical

argument

• biconditional statement

• conclusion

• conditional statement

• deductive reasoning

Two related conditional statements that are both

true or both false

• equivalent statements

• flowchart proof (flow proof)

• hypothesis

• if-then form

A type of proof that uses boxes and arrows to show

the flow of a logical argument

• inductive reasoning

• flowchart proof (flow proof)

• hypothesis

• if-then form