Geometry Practice Test Vocab Unit 2

argument

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

conjecture

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

conclusion

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

Linear Pair

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

hypothesis

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

inductive

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.

conditional

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

algebraic

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

Conjunction

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

contrapositive

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

valid argument

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

Geometric Proof

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.

formal

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.

proof

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 _____.

Law of Detachment

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 Syllogism

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)