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# Module 15

### This will contain important key words

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

Triangle Sum Theorem | The sum of the angle measures of a triangle is 180 degrees |

Polygon Angle Sum Theorem | The sum of the measures of the interior angles of a convex polygon with n sides is (n-2)180 degrees |

Exterior Angle Theorem | The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles |

Isosceles triangle | triangle with at least 2 congruent sides |

Congruent sides of a triangle are called | legs |

Angle formed by legs of triangle are | vertex angles |

Side opposite of vertex angle is | base |

Angles that have a base as a side are | base angles |

Isosceles Triangle Theorem | If 2 sides of a triangle are congruent, then the 2 angles opposite the sides are congruent |

Equilateral Triangle Theorem | If a triangle is equilateral, then it is equiangular |

Converse of the Equilateral Triangle Theorem | If a triangle is equiangular, then it is equilateral |

Triangle Inequality Theorem | The sum of any 2 side lengths of a triangle is greater than the 3rd side length |

Side-Angle Relationships in Triangles | If 2 sides of a triangle are not congruent, then the larger angle is opposite the longer side |

Angle-Side Relationships in Triangles | If 2 angles of a triangle are not congruent, then the longer side is opposite the larger angle |

Circumcenter Theorem | The perpendicular bisectors of the sides of a triangle intersect at a point that is equidistant from the vertices of the triangle |

Angle Bisector Theorem | If a point is on the bisector an of angle, then it is equidistant from the sides of the angle |

Converse of the Angle Bisector Theorem | If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the bisector of the angle. |

Incenter Theorem | The angle bisectors of a triangle intersect at a point that is equidistant from the sides of the triangle |