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# Thm Chap 2,3,4

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

All right angles are congruent | Right Angles Congruence Theorem |

If a triangle is equiangular, then the triangle is equilateral | Corollary to the Base Angles Converse |

If the corresponding side lengths of two triangles are proportional, then the triangles are similar | Side-Side-Side Similarity (SSS Sim) |

Vertical Angles are congruent | Vertical Angles Congruence Theorem |

If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent | Alternate Interior Angles Congruent |

If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent | Alternate Exterior Angles Congruent |

If two parallel lines are cut by a transversal, then the consecutive interior (co-interior) angles are supplementary | Consecutive Interior (Co-Interior) Angles Supplementary |

If two lines are cut by a transversal and alternate interior angles are congruent, then the two lines are parallel | Alternate Interior Angles Converse |

If two lines are cut by a transversal and alternate exterior angles are congruent, then the two lines are parallel | Alternate Exterior Angles Converse |

If two lines are cut by a transversal and co-interior angles are supplementary, then the two lines are parallel | Co-Interior Angles Converse |

If two lines are parallel to the same line, then they are parallel to each other | Transitive for Parallel Lines |

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

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

If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths | Perimeters of Similar Polygons Theorem |

If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar | Side-Angle-Side Similarity (SAS Sim) |

If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent | Angle-Angle-Side (AAS) Congruence Theorem |

If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent | Angle-Side-Angle (ASA) Congruence Theorem |

If two sides of a triangle are congruent, then the angles opposite the sides are congruent | Base Angles Theorem |

If a triangle is equilateral, then the triangle is equiangular | Corollary to the Base Angles Theorem |

If two angles of a triangle are congruent, then the sides opposite the angles are congruent | Base Angles Converse |