Geometry Unit 2

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

conditional

A(n) _____ is a statement that you conclude to be true based on logical reasoning.

conjecture

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

algebraic

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 _____ 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

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

linear pair

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

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

valid argument

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

conjunction