Geometry Unit 2 Test

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conjunction

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

conjecture

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

reflexive

___ property of congruence A=A

law of detachment

if a, then b a therefore, b

linear pair

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

contrapositive

The _____ is found by interchanging and negating the hypothesis and the conclusion

hypothesis

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

converse

The ______ is found by interchanging the hypothesis with the conclusion

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

inverse

The_____ is found by negating the hypothesis and the conclusion

angle addition postulate

states that if B is in the interior of AOC , then m∠AOB+m∠BOC=m∠AOC

symmetric

____ property of equality if a = b then b = a

division

____ property of equality, if a=b, then a/c = b/c

reflexive

_____ property of equality a=a

transitive

_____ property of equality if a = b and b = c then a = c

distributive

____property of equality, a(b+c) = ab+ac a(b-c) = ab-ac

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 _____

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

biconditional

A _______ statement is formed by joining the hypothesis and conclusion with the phrase "if and only if."

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

algebraic

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

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 _____

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

transitive

___ property of congruence if a=b and b=c, a=c

congruent complements theorem

If 2 angles are complementary to the same angle, then they are congruent to each other.

congruent supplements theorem

If 2 angles are supplementary to the same angle, then they are congruent to each other.

line

When one plane intersects another plane, the intersection of the two planes is a _____

substitution

___ property of equality If a = b, then b can be substituted for a in any equation or expression

addition

___ property of equality, if a=b then a+c=b+c

subtraction

___ property of equality, if a=b, then a-c=b-c

multiplication

___ property of equality, if a=b, then ac=bc

symmetric

____ property of congruence if A=B then B=A

law of syllogism

if a, then b if b, then c therefore if a, then c


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