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24 Cards in this Set

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  • Back
Axiom
Statement that describes a fundamental relationship between the basic terms of geometry
Formal Proof
Known as two-column proof where it is organized into two columns
Informal Proof
Proof where you write a paragraph to explain why a conjecture for a given situation is true
Two Column Proof
A formal proof that contains statements and reasons organized in two columns
Truth Value
The truth or falsity of a statement
Theorem
A statement or conjecture that can be proven true by undefined terms, definitions or postulates
Statement
Any sentence that is either true or false but not both
Related Conditionals
Statements such as the converse, inverse, and contrapositive that are based on a given conditional statement
Paragraph Proof
An informal proof written in the form of a paragraph that explains why a conjecture for a given situation is true
Negation
If a statement is represented by p, then not p is the negation of the statement
Logically Equivalent
Statements that have the same truth values
Inverse
The statement formed by negating both the hypothesis and conclusion of a conditional statement
Inductive Reasoning
Reasoning that uses a number of examples to arrive at a prediction. Conclusion arrived lack with logical certainty
If-Then-Statements
A compound statement in the form of "if A then B" where A and B are statements
Hypothesis
In a conditional statement that comes after the word if
Deductive Reasoning
A system of reasoning that uses facts, rules, definitions, or properties to reach logical conclusion
Deductive Arguement
A proof formed by group of algebraic steps used to solve a problem
Counterexample
An example used to show that a given statement is not always true
Converse
The statement formed by negating both the hypothesis and conclusion of a conditional statement
Contrapositive
The statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement
Conjecture
An educated guess based on known information
Conclusion
In conditional statement the statement after the word then
Compound Statement
A statement formed by joining two or more statements
Biconditional
Is the conjunction of a conditional and its converse