Chapter 2 Vocab
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18 terms
Terms | Definitions |
|---|---|
 conjecture | An unproven statement that is based on observations. |
| inductive reasoning | A process that includes looking for patterns and making conjectures. |
| counterexample | A specific case that shows a conjecture is false. |
| conditional statement | A type of logical statement that has two parts, a hypothesis and a conclusion. |
| converse | The statement formed by exchanging the hypothesis and conclusion of a conditional statement. |
| inverse | The statement formed by negating the hypothesis and conclusion of a conditional statement. |
| contrapositive | The equivalent statement formed by negating the hypothesis and conclusion of a conditional statement. |
| if-then form | The form of a conditional statement that uses the words "if" and "then." The "if" part contains the hypothesis and the "then" part contains the conclusion. |
| hypothesis | The "if" part of a conditional statement. |
| conclusion | The "then" part of a conditional statement. |
| negation | The opposite of a statement. |
| equivalent statements | Two statements that are both true or both false. |
| perpendicular lines | Two lines that intersect to form a right angle. |
| biconditional statement | A statement that contains the phrase "if and only if." |
| deductive reasoning | A process that uses facts, definitions, accepted properties, and the laws of logic to form a logical argument. |
| proof | A logical argument that shows a statement is true. |
| two-column proof | A type of proof written as numbered statements and corresponding reasons that show an argument in a logical order. |
| theorem | A true statement that follows as a result of other true statements. |
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