Geometry Unit 2
A statement in which a conclusion is true if the conditions of a particular hypothesis are true is called a _____ statement.
conditional
A(n) _____ is a statement that you conclude to be true based on logical reasoning.
conjecture
A _____ is a related conditional statement that results from the exchange and negation of the hypothesis and conclusion of a conditional statement.
contrapositive
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(n) _____ proof is a proof that uses algebraic properties to reach a conclusion about an algebraic equation.
algebraic
A series of reasons that leads to a conclusion is an _____.
argument
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 _____ 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 _____ is the part of a conditional statement that expresses the conditions that must be met.
hypothesis
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
The _____ Theorem states that "If any two angles form a linear pair, then they are supplementary."
linear pair
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
A _____ is an application of deductive reasoning such that the reasoning is logically correct and undeniably true.
valid argument
A _____ is a compound logic statement made up of two statements joined together with the word "and."
conjunction