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# Algebra 5.7-5.12

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

Theorem 5.18 | If a quadrilateral is a paralellogram, then its opposite sides are congruent |

Theorem 5.19 | If a quadrilateral is a paralellogram, then its opposite angles are congruent |

Theorem 5.20 | If a quadrilateral is a paralellogram, then its consecutive angles are supplementary |

Theorem 5.21 | If a quadrilateral is a parallelogram, then its diagonals bisect eachother |

Theorem 5.22 | If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a paralellogram |

Theorem 5.23 | If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a paralellogram |

Theorem 5.24 | If on pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram |

Theorem 5.25 | If the diagonals of a quadrilateral bisect eachother, then the quadrilateral is a paralellogram |

Theorem 5.26 | A parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles |

Theorem 5.27 | A parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles |

Theorem 5.28 | A parallelogram is a rectangle if and only if its diagonals are congruent |

Theorem 5.29 | If a trapezoid is isosceles, then each pair of base angles is congruent |

Theorem 5.30 | If a trapezoid has a pair of congruent base angles, then it is an isosceles trapezoid |

Theorem 5.31 | A trapezoid is isosceles if and only if its diagonals are congruent |

Theorem 5.32 (Midsegment Theorem for Trapezoids) | the midesegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the base |

Theorem 5.33 | If a quadrilateral is a kite, then its diagonals are perpendicular |

Theorem 5.34 | If a quadrilateral is a kite, then exactly one pair of opposite sides is congruent |

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