Geometry U2 Review
A ____ is a related conditional statement that results from the exchange and negation of the hypothesis and conclusion of a conditional statement
contrapositive
an example the proves a conjecture false
counterexample
A _____ is a compound logic statement made up of two statements joined together with the word "and"
conjunction
The _____ is the part of the conditional statement that expresses the conditions that must be met by the statement
hypothesis
a biconditional statement that is used to describe a geometric object or concept
definition
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 ____ proof is a proof that uses algebraic properties to reach a conclusion about an algebraic equation
algebraic
the exchange of the hypothesis and conclusion of a conditional statement results in a related conditional statement called an ____
converse
a statement or conjecture that can be proven by undefined terms, definitions, postulates, and previously proven theorems
theorem
A ____ is an application of deductive reasoning such that the reasoning is logically correct and undeniably true
valid argument
A series of reasons that leads to a conclusion is an ____.
argument
a logical statement formed by the combination of a conditional statement and its converse
bi-conditional statement
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 statement in which a conclusion is true if the conditions of a particular hypothesis are true is called a ____ statement
conditional
a statement in which a conclusion is true if the conditions of a particular hypothesis are true
conditional statement
A ____ is a statement that you can conclude to be true based on logical reasoning
conjecture
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 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
an argument that uses logic without written justification to show that a conclusion is true
informal proof
The negation of the hypothesis and the conclusion of a conditional statement results in a related conditional statement called an ____
inverse
The ____ Theorem states that "if any two angles form a linear pair, then they are supplementary"
linear pair
the negative form of any part of a conditional statement
negation
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
the act of forming conclusions based on available information
reasoning