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# Triangle Properties

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

Acute Triangles | All angles are less than 90 degrees |

Right Triangles | One angle is 90 degrees, the other two angles are less than 90 degrees. |

Obtuse Triangles | One angle is greater than 90 degrees, the other two angles are less than 90 degrees. |

Scalene Triangles | All of the sides are different measures. |

Isosceles Triangles | Two sides are congruent. |

Equilateral Triangles | All sides are congruent. |

Triangle-Angle-Sum Theorem | All three interior angles add up to 180 degrees. |

Exterior Angle Theorem | The measure of an exterior angle is the sum of the two interior angles. |

Isosceles Triangle Theorem | Two angles of a triangle are congruent if and only if two sides of a triangle are congruent. |

Altitude | The special segment that connects a vertex to the opposite side and is perpendicular to that side. |

Angle Bisector | The special segment that bisects one angle of the triangle. |

Centroid | The point of concurrency that is formed by the three medians of the triangle and is the center of gravity. |

Circumcenter | The point of concurrency that is formed by the perpendicular bisectors. |

Euler Line | The special line in a triangle that includes three points of concurrency: circumcenter, centroid, and orthocenter. |

Incenter | The point of concurrency that is formed by the angle bisectors. |

Median | The special segment whose endpoints are a vertex and the midpoint of the opposite side. |

Midsegment | The special segment that joins the midpoints of two sides of a triangle. |

Orthocenter | The point of concurrency where the three altitudes of the triangle meet. |

Perpendicular Bisector | The special segment that bisects the side of the triangle and is perpendicular to that side. |

Triangle Inequality Theorem | Two sum of two sides of a triangle will be greater than the third side. |

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