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### 24 Cards in this Set

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 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