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# Ch 5 Geometry

### Ch 5 Terms and Conjectures

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

What is the sum of the interior angles of a quadrilateral? | 360 degrees |

What is the sum of the interior angles of a pentagon? | 540 degrees |

What is the sum of the measures of the interior angles of any n-gon? | 180*(n - 2) OR 180*n - 360 |

What is an n-gon? | A polygon with the number of sides equal to 'n' |

For any polygon, what is the sum of the measures of the exterior angles? | 360 degrees |

For an equiangular polygon, what is the formula for the measure of each interior angle? | 180 - (360/n) OR 180*(n - 2))/n |

Which two angles in a kite are congruent? | the nonvertex angles |

In a kite, which diagonal is bisected? | the diagonal connecting the nonvertex angles |

In a kite, which diagonal is a perpendicular bisector? | the diagonal connecting the vertex angles |

In a kite, which 2 angles are bisected by the diagonal connecting them? | the vertex angles |

In a kite, the diagonals intersect at what angle? | right angle or 90 degrees; diagonals are perpendicular |

In a trapezoid, which angles are supplementary? | the consecutive angles between the bases |

Base angles are congruent in what kind of trapezoid? | isosceles trapezoid |

How are the diagonals of an isosceles trapezoid different from diagonals in other trapezoids? | they are congruent in isosceles trapezoids |

What divides a triangle into four congruent triangles? | the 3 midsegments of a triangle |

What is the length of the midsegment of a triangle? | half the length of the third side |

What does the midsegment of a triangle have in common with the third side? | it is parallel to the third side; it has the same slope |

What is the length of the midsegment of a trapezoid? | the average of the length of the two bases |

What is parallel to the bases of any trapezoid? | the midsegment of that trapezoid |

In a parallelogram, which angles are congruent? | opposite angles |

In a parallelogram, which angles are supplementary (add up to 180 degrees)? | consecutive angles |

Which quadrilateral's two pairs of opposite sides are congruent? | parallelogram |

In a parallelogram, what does each diagonal do to the other? | bisect |

What quadrilateral is formed when two pairs of parallel lines intersect each other, and both pairs are the same distance apart? Hint: think of the 2 sides of a ruler | rhombus |

Which parts of a rhombus are perpendicular bisectors? | diagonals |

What is an equiangular rhombus? | square |

What is an equilateral rectangle? | square |

What is an equilateral parallelogram? | rhombus |

What is an equiangular parallelogram? | rectangle |

In which quadrilateral are the angles bisected by the diagonals? | rhombus (and square) |

In which quadrilateral are the diagonals congruent? | rectangle and isosceles trapezoid (and square) |

Which quadrilateral's diagonals are perpendicular, bisect each other, and are congruent? | square |

Created by:
ascensiongeometry