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# Triangle Congruence

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

Congruence | Figures or shapes that have the same size, shape and measure |

Equilateral triangle | A triangle with three congruent sides |

isosceles triangle | a triangle with two equal sides |

scalene triangle | a triangle with no congruent sides |

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

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

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

corresponding parts | matching parts of congruent polygons |

CPCTC | corresponding parts of congruent triangles are congruent |

Congruency Statement | Statement that tells which parts in one triangle correspond to the parts in the other triangle |

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

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

HL Postulate | If a hypotenuse and leg of one right triangle are congruent to the corresponding hypotenuse and leg of a second right triangle, then the triangles are congruent. |

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

AAS postulate | If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another, then the two triangles are congruent. |