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# Chapter 6 Vocabulary

### Words and Theorems that you will need to know

Question | Answer |
---|---|

parallelogram | a quadrilateral with both pairs of opposite sides parallel |

rhombus | a parallelogram with four congruent sides |

quadrilateral | a polygon with 4 sides |

rectangle | a parallelogram with four right angles |

square | a parallelogram with four right angles and four congruent sides |

kite | a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent |

trapezoid | a quadrilateral with exactly one pair of parallel sides |

isosceles trapezoid | a trapezoid whose nonparallel opposide sides are congruent |

Opposite Side of Parallelogram Theorem | opposite sides of a parallelogram are congruent |

consecutive angles | consecutive angles sum to 180 degrees |

Opposite Angles of Parallelogram Theorem | Opposite angles of a parallelogram are congruent |

Diagonals of a Parallelogram | Diagonals of a parallelogram bisect each other |

Converse of Diagonals of a Parallelogram | If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram |

Theorem 6-6 | If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram |

Converse of opposite sides of a parallelogram theorem | If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram |

Converse of Opposite Angles Theorem | If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram |

Diagonals of a Rhombus Theorem | Each diagonal of a rhombus bisects two angles of the rhombus |

Rhombus Diagonals and Perpendicular Theorem | The diagonals of a rhombus are perpendicular |

Diagonals of a Rectangle Theorem | The diagonals of a rectangle are congruent |

Converse of a Diagonals of a Rhombus Theorem | If one diagonal of a parallelogram bisects two angles of the parallelogram, then the parallelogram is a rhombus |

Converse of Rhombus Diagonals and Perpendicular Theorem | If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus |

Converse of Diagonals of a Rectangle Theorem | If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle |

Created by:
sscherer