Geometry U2 Review

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

contrapositive

an example the proves a conjecture false

counterexample

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

conjunction

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

hypothesis

a biconditional statement that is used to describe a geometric object or concept

definition

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 ____ proof is a proof that uses algebraic properties to reach a conclusion about an algebraic equation

algebraic

the exchange of the hypothesis and conclusion of a conditional statement results in a related conditional statement called an ____

converse

a statement or conjecture that can be proven by undefined terms, definitions, postulates, and previously proven theorems

theorem

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

valid argument

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

argument

a logical statement formed by the combination of a conditional statement and its converse

bi-conditional statement

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

a statement in which a conclusion is true if the conditions of a particular hypothesis are true

conditional statement

A ____ is a statement that you can conclude to be true based on logical reasoning

conjecture

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 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

an argument that uses logic without written justification to show that a conclusion is true

informal proof

The negation of the hypothesis and the conclusion of a conditional statement results in a related conditional statement called an ____

inverse

The ____ Theorem states that "if any two angles form a linear pair, then they are supplementary"

linear pair

the negative form of any part of a conditional statement

negation

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

the act of forming conclusions based on available information

reasoning