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# Pythagorean Theory

Term | Definition |
---|---|

inductive reasoning | reasoning based on examples |

deductive reasoning | reasoning based on facts or rules |

alternate exterior angles | outside angles that lie on opposite sides of a transversal |

alternate interior angles | inside angles that lie on opposite sides of a transversal |

converse | the reversal of a statement |

corresponding angles | angles that are in the same position on two parallel lines in relation to a transversal |

Distance Formula | To find the distance between two points (x1,y1) and (x2,y2), |

equiangular | a polygon with congruent angles |

exterior angles | outside angles formed by two parallel lines cut by a transversal |

formal proof | two-column proof containing statements and reasons |

informal proof | paragraph explaining why statements are correct |

hypotenuse | side opposite of the right angle in a right triangle |

interior angles | inside angles formed by two parallel lines cut by a transversal or inside a polygon |

legs | the two side of a right triangle that form the right angle |

parallel lines | lines that never intersect no matter how for they extend |

perpendicular lines | two lines that intersect to form right angles |

paragraph proof | paragraph explaining why statements are correct |

Pythagorean Theory | In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of he lengths of the legs. |

polygon | simple, closed figure formed by three or more line segments |

triangle | a figure formed by three line segments that only intersect at the endpoints |

two-column proof | the formal proof that is presented in a two column format |

transversal | a line that intersects two or more other lines |

remote interior angles | the angles of a triangle that are not next to a given outside angle |

regular polygon | a polygon whose lines have the same measurement and whose sides have the same measurement |

congruent | having the same measure |

Created by:
kjones4514