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Hawkins - Geometry
Unit 2 Vocabulary
Term | Definition |
---|---|
Conclusion | The part of a conditional following then |
Truth Value | Whether a conditional is true or false |
Negation | A statement that has the opposite truth value |
Conditional | Another name for an if-then statement |
Vertical Angle | Two angles formed by intersecting lines |
Hypothesis | The part of a conditional following if |
Converse | Switches the hypothesis and the conclusion of a conditional statement |
Inverse | Negates both the hypothesis and conclusion of a conditional statement |
Formal Proof | A proof that contains statements and reasons organized into two columns |
Adjacent Angle | Two angles that share a common side |
Supplementary Angles | Two angles whose measures have a sum of 180 |
Deductive Reasoning | The process of reasoning logically from given statements to a conclusion |
Contrapositive | Switches and negates both the hypothesis and conclusion of a conditional statement |
Equivalent Statements | Statements with the same truth value |
Complementary Angles | Two angles whose measures have a sum of 90 |
Good Definition | A statement that can be written as a biconditional |
Venn Diagram | A diagram that uses circles to illustrate conditionals |
Inductive Reasoning | Reasoning based on patterns you observe |
Algebraic Proof | A proof that is made up of a series of algebraic statements |
Indirect Reasoning | A proof that begins with assuming the opposite of what you want to prove and showing there is a contradiction |
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 |
Law of Detachment | If the conditional is true and its hypothesis is true, then the conclusion is true. |
Counter Example | An example or instance of the statement that makes the statement false |
Biconditional | Combining a conditional using the words if and only if when the conditional and the converse are both true |