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Geometry Chapter 2 K

Reasoning and Proofs

TermDefinition
inductive reasoning the process of reasoning that a rule or statement is true b/c specific cases are true
conjecture a statement believed to be true based on inductive reasoning
counterexample use to prove a statement is false
conditional statement a statement that can be written in if then form
hypothesis the "if" part of a conditional statement
conclusion the "then" part of a conditional statement
truth value deciding whether a statement is true or false
negation the opposite of a statement (not)
converse a statement formed by reversing the hypothesis and conclusion of an if then statement
inverse a statement formed by negating the hypothesis and conclusion of an if then statement
contrapositive a statement formed by both negating and switching the hypothesis and conclusion of an if then statement
logically equivalent statements 2 similar conditional statements that have the same truth value
deductive reasoning the process of using logic to draw conclusions from given facts, definitions, and properties
biconditional statement a conditional statement that can be written in if and only if form
definition a statement that describes a math object that can be written as a true biconditional statement
proof an argument that uses logic, definitions, properties, and previously proven statements to show that a conclusion is true
theorem any statement that you can prove
Created by: stacykeener