Geometry Unit 2

conjunction

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

binconditional

if and only if

conjecture

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

hypothesis

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

Linear Pair

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

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 ______.

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.

algebraic

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

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.

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.

argument

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

conditional

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

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.

Reflexive Property of Congruence/Similarity

A~A

Transitive Property of Congruence/Similarity

If A~B and B~C, then A~C.

Symmetric Property of Congruence

If A~B, then B~A