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# Geometry Chapter 6

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

diagonal | segment of a polygon that joins 2 non-consecutive vertices |

formula to find the interior angle sum of a polygon | (n-2)180 |

formula to find one interior angle of a regular polygon | (n-2)180/2 |

exterior angles of a polygon always | have a sum of 360 |

formula to find one exterior angle of a regular polygon | 360/n |

parallelogram | quadrilateral whose opposite sides are parallel |

parallelogram properties | opposite sides are congruent, opposite angles are congruent, consecutive angles are suppl, bisecting diagonals, 1 pair of ≅ and // opp sides |

ways to prove a shape is a parallelogram | distance (opp sides ≅), slope (opp sides //), midpoint (diagonals bisect) |

rectangle | parallelogram with 4 right angles |

rectangle properties | has ≅ diagonals and other parallelogram properties |

rhombus | parallelogram with 4 ≅ sides |

rhombus properties | perpendicular diagonals, diagonals bisect angles, and other parallelogram properties |

square | rectangle, rhombus, and parallelogram combined |

square properties | ≅ diagonals, perpendicular diagonals, diagonals bisect angles, and other parallelogram properties |

kite | quadrilateral with 2 pairs of congruent and adjacent sides |

kite properties | perpendicular diagonals, 2 ≅ short sides, 2 ≅ lone sides, 1 pair ≅ opposite angles (obtuse) |

trapezoid | quadrilateral with exactly 1 pair of parallel opposite sides |

midsegment | segment that joins the two midpoints of the legs, parallel to bases, length is the average of base lengths |

formula to find the midsegment | base 1 + base 2/2 |

isosceles trapezoids | have ≅ legs, have ≅ base angles, have ≅ diagonals |