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# Geometry Quad. proof

### Geometery Cary High Unit 11 special paralleograms

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

midline of a triangle : | is the line of joining the midpoint of two sides of a triangle |

The mid line of a triangle | is // to the 3rd side of the triangle |

The mid line of a triangle is half | as long as the 3rd side |

If a line containing the midpoint of one side of a triangle is // to the 2nd of a triangle | then also contains the midoint of the 3rd side of the triangle |

If 3 or more // lines cuts off seg. on trans. then | cut off congruent seg on every trans. |

Varignon's Theorem | If themidpoint of the side of any quad are joined then form a parallograme |

Trapezoid | If a quad and has exactly one pair of opp. sides // then trapezoid. |

Isosceles Trapeziod | If a Trapeziod who's non // sides are congrunet then isos trap. |

If a quad is a trap. and legs are congrunet then | Isosceles Trapezoid |

If a qud ia a trap. and has one pair of base angles congrunet then | isosceles trapezoid |

If a quad is a trap. and has congruent diagonals | then isosceles trapezoid |

Median Of Trapezoid | a seg. that joins the midpoint of non // side of a trap. |

If a median of a trapezoid then | seg. joins midpoints of non // sides of trap. |

If a seg. is the median of a trapezoid then | it is // to bases |

If seg. is a median of a traoezoid then | length is half the sum of the lengths of thebases |

If rhombus then four | sides congrunt |

If rhombus then diagonal | perpendicular |

If a rhombus then diagonal bisect | its angles |

square | If a quad. with 4 right angles and four congruent sides then square |

If paraolleogram has perpendicular diagonals then | Rhombus |

If a paraolleograme has consect. congrunet sides then | rhombus |

If diagonals of paraellograme bisect angles of parallelograme then | rhombus |

rectangle | If a quad. with four right angles then a rectangle |

If a quad has 4 rt angles then | rect. |

If a paralleograme has congruent diagonals | then rect |

If a paralleograme has one rt. angle | then rect |

If a quad has 3 rt. angles | the rect. |

The median to the hyp. of a rt. triangle is | half as long as the hyp. |

Hyp. of rt. triangle is twice as | long as the median to hyp. |

If a quad is a rect. with consecutive congurent sides | then a square |

If a quad is a rect with diagonals bisecting | one of it's angels then square |

If a quad is rect with perpendicular diagonals | then square |

If a quad is a rhombus with rt angles then | square |

If a quad is a rhombus with congruent diagonals | then square |

rhombus | If a quad. with four right sides congruent then a rhombus |

Created by:
thehermitcrab