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math voc
| Question | Answer |
|---|---|
| inductive reasoning | a type of reasoning in which a pattern is observed and a general conclusion is made |
| conjecture | a statement that is believed to be true based on observations or patterns |
| counterexample | an example that shows a conjecture or statement is false |
| conditional statement | a statement written in the form if p,then q |
| hypothesis | the if part of a conditional statement |
| conclusion | the "then" part of a conditional statement |
| negation | the opposite of a statement |
| inverse | a conditional statement formed by negating both the hypothesis and conclusion |
| converse | a conditional statement formed by switching the hypothesis and conclusion |
| contraposite | a conditional statement formed by switching and negating the hypothesis and conclusion |
| bi conditional statement | a statement that combines a conditional statement and its converse using if and only if |
| equivalent statement | statement that have the same truth value |
| deductive reasoning | a type of reasoning that uses facts,definitions,properties,and accepted statements to reach a logical conclusion |
| law of detachment | a valid form of reasoning that allows you to conclude q when p q is true and p is true |
| law of syllogism | a valid form of reasoning that combines two conditional statements to reach a conclusion |
| proof | a logical argument that uses definitions,properties,postulates,and previously proven theories to show that a statement is true |
| theorem | a statement that has been proven to be true |
| two-column proof | a proof organized into 2 column : statements and reasoning's |
| paragraph proof | a proof written as a paragraph using complete sentences |
| flow proof | a proof that uses boxes and arrows to show how statements lead logically to a conclusion |
| postulate | a statement that is accepted as true without proof |
| definition | a statement that explains the meaning of a Mathematical term |
| property | a rule or characteristic that is accepted as true and can be used in mathematical reasoning |
| reflexive property | a quantity is congruent or equal to itself |
| symmetric property | if one quantity equals or is congruent to another,the order can be reversed |
| transitive property | if one quality equals or is congruent to a second,and the second equals or is congruent to a third,then the first and third are equal |
| substitutional property | a quantity can be substituted for another equal quantity |
| additional property of equality | adding the same quality to both sides of an equation produces an equivalent equation |
| subtraction property of equality | subtracting the same quantity from both sides of an equation produces an equivalent equation |
| multiplication proper | multiplying both sides of an equation by the same number leaves the equation balanced and preserves the equality |
| division property | dividing both sides of an equation by the same none q number produces an equivalent equation |
Created by:
amgrace