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# Triangle Congruency

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

Polygons with congruent corresponding parts (angles and sides) | Congruent Polygons |

If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. | Third Angle Theorem |

If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent. | SSS triangle congruence theorem |

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. | SAS triangle congruence theorem |

If two angles and the included side of one triangle are congruent to two angles and the included sides of another triangle, then the two triangles are congruent. | ASA triangle congruence theorem |

If two angles and the nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent. | AAS triangle congruence theorem |

corresponding parts of congruent triangles are congruent | CPCTC |

the congruent sides of an isosceles triangle | legs of an isosceles triangle |

The non-congruent side of an isosceles triangle | base of an isosceles triangle |

the angle formed by the two congruent sides of an isosceles triangle | Vertex Angle of an isoscels triangle |

The congruent angles adjacent to the base of an isosceles triangle. | Base Angles of an isosceles triangle |

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

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

The bisector of the vertex angles of an isosceles triangle is the perpendicular bisector of the base. | Theorem: bisector of a vertex angle |

is a statement that follows immediately from a theorem. | Corollary |

The angles of an equilateral triangle are all 60 degrees. | Theorem: Equilateral triangles |

The longest side of a right triangle. | Hypotenuse of a triangle |

The two sides of the right triangle other than the hypotenuse. These sides form the right angle. | Legs of a triangle |

Two triangles congruent with congruent legs and hypotenuse. | HL triangle congruence theorem |

A triangle with no congruent sides | Scalene triangle |

A triangle with 2 congruent sides | Isosceles Triangle |

A triangle with THREE congruent sides | Equilateral triangle |

A triangle with 3 acute angles | Acute triangle |

A triangle with ONE obtuse angle | Obtuse triangle |

A triangle with ONE right angle | Right triangle |

A triangle with 3 congruent angles (all are 60 degrees) | Equiangular triangle |

a line that is perpendicular to a segment and goes through its midpoint(bisects the segment) | Perpendicular bisector |

Created by:
bwheat