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# chapter 4

### triangle congruence

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

when c is a right angle in triangle abc, a+b=90 degrees | corollary to the triangle sum theorem |

in triangle ABC, angle B has an extended exterior angle 1. a+c= the measure of angle 1 | Exterior angles theorem |

Equilateral, scalene, isosceles | classify by sides |

equiangular, obtuse, acute, right | classify by angles |

in triangle ABC, angla A + angla B+ angle C= 180 degrees | triangle sum theorem |

In triangle TPO and triangle, SGF, angle T is congruent to angle S, and angle P is congruent to angle G, so angle O is congruent to angle F | Third Angles Theorem |

If all sides are congruent, then the triangles are congruent | SSS congruence postulate |

If a Side, touching angle, and side are congruent, then the triangles are congruent | SAS congruence postulate |

If an angle, touching angle, and side are congruent, the triangles are congruent | AAS congruence theorem |

If an angle, touching side, and angle are congruent, the triangles are congruent | ASA congruence postulate |

If the triangle is isosceles, the base angles are congruent | base angles theorem |

If the base angles are congruent, the triangle is isosceles | converse of base angles theorem |

If the triangle is equilateral, then it is equiangular | corollory to the base angle theorem |

If the triangle is equiangular, then it is equilateral | Corallory to the converse of the base angles theorem |

If they are right triangles and the hypotenuse and one leg are congruent, then the triangles are congruent | HL congruence theorem |

If all sides and all angles are congruent, the triangles are congruent. | definiton of congruent triangles |

Created by:
bellesies