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Looking for patterns, do a conjecture, and verifying the conjecture. You are watching: Two adjacent angles whose exterior sides are opposite rays are complementary. | |

Undefined terms | Point, line, and plane. |

Segment | Consists of 2 endpoints and also all points that lie top top the line between those endpoints. |

Ray | Consists of an initial allude and every points top top the line that lay on either one side of the endpoint or the other. |

Collinear | Points, segments, or rays the lie top top the exact same line. |

Angle | Two different rays that have actually the same initial point. |

Acute | An edge whose measure is in between 0 and also 90 degrees. |

Right | An edge whose measure is precisely 90 degrees. |

Obtuse | An edge whose measure up is in between 90 and 180 degrees. |

Straight | An edge whose measure is exactly 180 degrees. |

Reflex | An edge whose measure up is in between 180 and also 360 degrees. |

Interior | A point that lies in between points that lie on each side of an angle. |

Exterior | A suggest that does not lie in the inner of an angle, or on the angle. |

Adjacent | Two angle that share a typical vertex and also side, however have no usual interior points. |

Postulates | Rules in geometry which should be embraced as true without proof; likewise called axioms. |

Ruler Postulate | The point out on a line deserve to be matched one-to-one v the set of genuine numbers, which permits you to recognize the name: coordinates of a point and the distance between points. |

Segment enhancement Postulate | If B is in between A and also C, climate AB+BC=AC. |

Protractor Postulate | The rays that form an angle have the right to be placed in one-to-one correspondence v the genuine numbers in between 0 and 180 levels inclusive, which permits angles to be measured. |

Angle enhancement Postulate | Allows friend to include the steps of nearby angles. |

Congruent | Two segments or angles having the exact same measure. |

Midpoint | The allude that divides a segment into two congruent segments. |

Segment bisector | A segment, ray, line, or airplane that intersects a segment at its midpoint. |

Angle bisector | A beam that divides one angle right into two congruent angles. |

Perpendicular | Two lines that crossing to type a right angle. |

Distance formula | A formula used to calculate the distance in between two clues in a coordinate plane. |

Hypothesis | In a conditional statement, the component following the "if" denoted by "p". |

Conclusion | In a conditional statement, the component following the "then" denoted by "q". |

Conditional statement | A logical statement that deserve to be composed in "if-then" form. |

Converse | A conditional statement created by interchanging the hypothesis and also conclusion. |

Counterexample | One example used to demonstrate that a conditional statement is false. |

Biconditional statement | A true conditional statement whose converse is likewise true. |

Reflexive | Any geometric thing is congruent to itself. |

Symmetric | If one geometric thing is congruent to a second, climate the second is congruent to the first. |

Transitive | If one geometric thing is congruent to a second, and the 2nd is congruent to a third, climate the first object is congruent to the third object. |

Vertical angles | Two angle whose sides form two bag of opposite rays. |

Linear pair | Two nearby angles whose noncommon sides room opposite rays. |

Complementary | Two angle whose steps sum come 90 degrees. |

Supplementary | Two angles whose actions sum come 180 degrees. |

Linear Pair Postulate | If 2 angles type a direct pair, climate they space supplementary. |

Vertical angle Theorem | If 2 angles are vertical angles, climate they space congruent. |

Congruent additional Theorem | If 2 angles space supplementary to the same angle or to congruent angles, then they room congruent. |

Congruent Complements Theorem | If two angles are complementary come the same angle or come congruent angles, climate they room congruent. See more: Ð®Ð¹ The Name Trombone Is Derived From The Italian Term For Trumpet |

Deductive reasoning | To reason from recognized facts; provided when proving a theorem. |