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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 |

Created by:
thawkins