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Geometry Chap 2


Inductive Reasoning A type of reasoning that reaches conclusions based on a pattern of specific examples or past events.
Conjecture A conclusion reached by using inductive reasoning
Counterexample An example showing that a statement is false.
Conditional A conditional is an if-then statment.
Hypothesis In an if-then statement (conditional) the hypothesis is the part that follows if.
Conclusion The conclusion is the part of an if-then statement (conditional) that follows then.
Truth Value The truth value of a statement is "true" or "false" according to whether the statement
Negation The negation of a statment has the opposite meaning of the original statement.
Converse The statement obtained by reversing the hypothesis and conclusion of a conditional.
Inverse The inverse of the consitional "if p, then q" is the conditional "if not p, then not q."
Contrapositive The contrapositive of the conditional "if p, then q" is the conditional "if not q, the not p." A conditional and its contrapositive always have the same truth value.
Equivalent Statements Statements with the same truth value.
Biconditional A biconditional statement is the combination of a conditional statement and its converse. A biconditional contains the words "if and only if."
Deductive Reasoning A process of reasoning logically from given facts to a conclusion.
Law of Detachment If the hypothesis of a true conditional is true, then the conclusion is true.
Law of Syllogism Allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other statement.
Reflexive Property A = A
Symmetric Property If a = b then b = a
Transitive Property If a = b and b = c, then a = c
Proof A convincing argument that uses deductive reasoning.
Two-column proof Lists each statement on the left. The justifcation, or the reason for each statement, is on the right. Each statement must follow logically from the steps before it.
Theorem Is a conjecture that is proven.
Paragraph proof A proof written as a paragraph.
Created by: osubuckeye1012