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248823

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Question | Answer |

Postulate 1-1-1 Through any two points there is exactly one line. | Postulate. |

Postulate 1-1-2 Through any three non-collinear points there is exactly one plane containing them. | Postulate. |

Postulate 1-1-3 If two points lie in a plane, then the line containing those points lies in the plane. | Postulate. |

Postulate 1-1-4 If two lines intersect, then they intersect in exactly one point. | Postulate. |

Postulate 1-1-5 If two planes intersect, then they intersect in exactly one line. | Postulate. |

Postulate 1-2-1 Rule Postulate | The points on a line can be put into a one-to-one correspondence with the real numbers. |

Postulate 1-2-2 Segment Addition Postulate | If B is between A ad C, then AB + BC = AC |

Postulate 1-3-1 Protractor Postulate | Give Line AB and a point O on line AB, all rays that can be drawn form O can be put into a one-to-one correspondence with the real numbers form 0-180. |

Postulate 1-3-2 Angle Addition Postulate | If S is in the interior of <PQR then m<PQS+m<SQR=m<PQR |

Theorem 1-6-1 Pythagorean Theorem | In a right triangle, the sum of the squares of the length of the legs is equal to the square of the length of the hypotenuse. a^2+b^2=c^2 |

Theorem 2-6-1 Linear Pair Theorem | If two angles for a linear pair, then they are supplementary. |

Theorem 2-6-2 Congruent Supplements Theorem | If two angles are supplementary to the same angle (or to two congruence angels), then the two angles are congruent. |

Theorem 2-6-3 Right Angle Congruence Theorem | All right angles are congruent. |

Theorem 2-6-4 Congruent Complements Theorem | If two angles are complementary to the same angles (or to two congruent angles), then the two angles are congruent. |

Theorem 2-7-2 Vertical Angles Theorem | Vertical Angles are congruent. |

Postulate 3-2-1 Corresponding Angles Postulate | If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. |

Theorem 3-2-2 Alternate Interior Angles Theorem | If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. |

Theorem 3-2-3 Alternate Exterior Angles Theorem | If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent. |

Theorem 3-2-4 Same-Side Interior Angle Theorem | If two parallel lines are cut by a transversal, then the pairs of same-side interior angles are supplementary. |

Postulate 3-3-1 Converse of the Corresponding Angles Postulate | If two coplanar lines are cut by a transversal so that a pair of corresponding angles are congruent, then the two line are parallel. |

Postulate 3-2-2 Parallel Postulate | Through a point P not on line l, there is exactly one line parallel to l. |

Theorem 3-3-3 Converse of the Alternate Interior Angles Theorem | If two coplanar lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the two line are parallel. |

Theorem 3-3-4 Converse of the Alternate Exterior Angles Theorem | If two coplanar lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the two line are parallel. |

Theorem 3-3-5 Converse of the Same-Side Interior Angles Theorem | If two coplanar lines are cut by a transversal so that a pair of same-side interior angles are supplementary, then the two line are parallel. |

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