Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# Rel. in Triangles

### Relatonships in Triangles - Midsegments, Concurrent Lines, etc.

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

If a point lies on the perpendicular bisector of a segment, then... | it is equidistant from endpoints of the segment. |

If a point is equidistant from the endpoints of a segment, then... | it lies on the perpendicular bisector of the segment. |

If a point lies on the bisector of an angle, then... | it is equidistant from the sides of the angle. |

If a point is equidistant from the sides of an angle, then... | it lies on the bisector of the angle. |

The segment joining the midpoints of two sides of a triangle is called the... | midsegment. |

If a segment joins the midpoints of two sides of a triangle, then... | it is parallel to the third side and half its length. |

The perpendicular bisectors of a triangle are concurrent at a point... | equidistant from the vertices (circumcenter) |

The angle bisectors of a triangle are concurrent at a point... | equidistant from the sides (incenter). |

The medians of a triangle are concurrent at a point... | that is two thirds the distance from each vertex to the midpoint on the opposite side (centroid). |

The altitudes of a triangle are concurrent at the... | orthocenter. |

The perpendicular bisectors of a triangle are... | the lines that are perpendicular to the sides at their midpoints. |

The angle bisectors of a triangle are... | the lines that bisect each vertex. |

The medians of a triangle are... | the segments which connect each vertex with the midpoint of the opposite side. |

The altitudes of a triangle are... | the lines that travel through each vertex and are perpendicular to the opposite side. |

If two sides of a triangle are not congruent, then... | the longer side lies opposite the larger angle. |

If two angles in a triangle are not congruent, then... | the larger angle lies opposite the longer side. |

The measure of an exterior angle of a triangle is equal to... | the sum of the measures of the two remote interior angles. |

Created by:
mburke79