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# Geometry Ch 2 Vocab!

Vocab Word: | Definition: |
---|---|

1) Conditional Statement: | A type of logical statement that has TWO parts, a hypothesis and a conclusion. |

2) If-then-form: | The form a conditional statement that uses the words "If" and "Then." The "If" part contains the hypothesis and the "Then" part contains the conclusion. |

3) Hypothesis: | The "If" part of a conditional statement. |

4) Conclusion: | The "Then" part of a conditional statement. |

5) Converse: | The statement formed by switching the hypothesis and the conclusion of a conditional statement. |

6) Negation: | The negative of a statement. The negation symbol is ~. |

7) Inverse: | The statement formed when you negate the hypothesis and the conclusion of conditional statement. |

8) Contrapositive: | The statement formed when you negate the hypothesis and the conclusion of the converse of a conditional statement. |

9) Equivalent Statement: | Two statements that are both true or both false. |

10) Perpendicular Lines: | Two lines that intersect two form a right angle. The symbol for "is perpendicular to" is |

11) Line Perpendicular To A Plane: | A line that intersects the plane in a point and is perpendicular to every line in the plane that intersects it. |

12) Biconditional Statement: | A statement that contains the phrase "If and only if." The symbol "If and only if" is <—>. |

13) Logical Argument: | An argument based on deductive reasoning, which uses facts, definitions, and accepted properties in a logical order. |

14) Law Of Detachment: | If p —> q is a true conditional statement and p is true, then q is true. |

15) Law Of Syllogism. | If p —> q and q —> r are true conditional statements, then p —> r is true. |

16) Theorem: | A true statement that follows as a result of other true statements. |

17) Two-Column Proof: | A type of proof written as numbered statements and reasons that show the logical order of an argument. |

18) Paragraph Proof: | A type of proof written in paragraph form. |

Created by:
Alysa