Math practice test

A _____ is a related conditional statement that results from the exchange and negation of the hypothesis and conclusion of a conditional statement.

contrapositive

An argument that uses written justification in the form of definitions, properties, and previously proved geometric principles to show that a conclusion is true is called a _____ proof.

formal

a related conditional statement in which the hypothesis and the conclusion of a conditional statement have been exchanged

converse

or every expression `a`, `a = a`

Reflexive

A(n) _____ proof is a proof that uses algebraic properties to reach a conclusion about an algebraic equation.

Algebraic

A _____ is an application of deductive reasoning such that the reasoning is logically correct and undeniably true.

valid argument

for all expressions `a` and `b`, `a + b = b + a` `ab = ba`

Commutative Property of Multiplication

for all expressions `a`, `b`, and `c`, `a(b + c) = (ab) + (ac)`

Distributive Property of Equality

a law of deductive reasoning that states that if a conditional statement is true and its hypothesis is true, then its conclusion will also be true; [(p → q) ∧ p ] → q

Law of Detachment

a law of deductive reasoning that states that if two conditional statements are true, and if the conclusion of the first statement is the hypothesis of the second statement, then a conclusion based on the conditional statements will also be true; [(p → q) ∧ (q → r)] → (p → r)

Law of syllogism

The _____ Theorem states that "If any two angles form a linear pair, then they are supplementary."

Linear pair

for all expressions `a`, `b`, and `c`, if `a = b`, then `ac = bc`

Multiplication Property of Equality

A series of reasons that leads to a conclusion is an _____.

argument

The part of the conditional statement that expresses the action that will result if the conditions of the statement are met is called the _____.

conclusion

A statement in which a conclusion is true if the conditions of a particular hypothesis are true is called a _____ statement.

conditional

statement that you conclude to be true based on logical reasoning

conjecture

A _____ is a compound logic statement made up of two statements joined together with the word "and."

conjunction

a related conditional statement resulting from the exchange and negation of both the hypothesis and conclusion of a conditional statement

contrapositive

A _____ is an argument that uses written justification in the form of definitions, properties, postulates, and previously proved theorems and corollaries to show that a conclusion is true.

geometric proof

The _____ is the part of a conditional statement that expresses the conditions that must be met.

hypothesis

The process of reasoning that a rule, condition, definition, property, or statement is true because specific cases have been observed to be true is called _____ reasoning.

inductive

a related conditional statement resulting from the negation of the hypothesis and conclusion of a conditional statement

inverse

An argument that uses logic in the form of definitions, properties, and previously proved principles to show that a conclusion is true is called a _____.

proof