Help
Options
Didn't know it?
click below
click below
Knew it?
click below
click below
Don't Know
Remaining cards (0)
Know
retry
shuffle
restart
0:00
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
Geometry Chap 2
Vocabulary
| Term | Definition |
|---|---|
| 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
Popular Math sets