Geometry Unit 2 Test
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