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# Formulas & Theorems

### FINAL

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

quadrilateral | a four sided figure |

diagonal | segment joining any two nonconsecutive vertices in a quadrilateral |

parallelogram | special kind of quadrilateral in which both pairs of opposite sides are parallel |

opposite sides of a parallelogram are | congruent |

opposite angles of a parallelogram are | congruent |

consecutive angles in a parallelogram are | supplementary |

diagonals of a parallelogram | bisect each other |

quadrilateral is parallelogram if #1 | both pairs of opposite sides are parallel |

quadrilateral is parallelogram if #2 | both pairs of opposite sides are congruent |

quadrilateral is parallelogram if #3 | pair of opposite sides are both parallel and congruent |

quadrilateral is parallelogram if #4 | diagonals bisect each other |

quadrilateral is parallelogram if #5 | both pairs of opposite angles are congruent |

rectangle | quadrilateral with four right angles |

rectangle property that make is a parallelogram #1 | opposite sides are congruent |

rectangle property that make is a parallelogram #2 | opposite angles are congruent |

rectangle property that make is a parallelogram #3 | consecutive angles are supplementary |

rectangle property #1 | all four angles are right angles |

rectangle property #2 | diagonals are congruent |

rhombus | quadrilateral with four congruent sides |

square | quadrilateral with four right angles and four congruent sides |

diagonals of a rhombus are | perpendicular |

each diagonal of a rhombus | bisects a pair of opposite angles |

trapezoid | quadrilateral with exactly one pair of parallel sides |

parallel sides of trapezoids are called | bases |

nonparallel sides of trapezoids are called | legs |

isosceles trapezoid | trapezoids legs are congruent |

segment that joins the midpoints of the legs of the trapezoid is called | median |

both pairs of base angles of an isosceles trapezoid are | congruent |

diagonals of an isosceles trapezoid are | congruent |

median of a trapezoid is parallel to | bases |

median formula for trapezoids | one half the sum of the measures of the bases |