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# Geometry Quiz 1

### UCSMR Geometry 1-6, 1-7, 1-8 Quiz Stack

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

Circularity | One word the defines another and then that word defines the first. |

undefined terms | words that have no definition |

figure | a set of points |

space | a set of all points |

collinear | 3 or more points are collinear iff they lie on the same line |

coplanar | 4 or more points are coplanar iff they lie on the same plane |

one-dimensional | length (ft, m, etc) |

two-dimensional | length and width (area) (ft^2 or m^2) |

three-dimensional | length, width, and height (volume) (ft^3 or m^3) |

Euclidean Geometry | parallel lines NEVER touch/study of Euclid's works (Greek Mathematician) |

Spherical Geometry | parallel lines do meet |

Iff | if and only if, bi-conditional statement |

plane | any flat surface that repeats in ALL directions (parallelogram describes this) |

Postulates | statements assumed to be true |

Point-Line-Place Postulate | a.)Unique Line Assumption - through any two points there is exactly one line. |

b.)Number Line Assumption - any line can be turned into a number line. | |

c.)Dimensional Assumption - (1) Given a line in a plane there is at least one point in the plane and not on the line. (2)Given a plane in space, there is at least one point in space, not on the plane. | |

theorem | statements which are proven true |

Line Intersect Theorem | Two Lines intersect in at most one point, (on the same plane). |

parallel lines | two coplanar are parallel lines iff they have no points in common or they're identitcal. |

m//n | lines m and n are parallel |

Betweenness of Numbers | a number is between two other points if it is greater than one and less than the other. |

Betweenness of Points | a point is between two other points if it is on the same line and its coordinate is between their coordinates. |

segment(line segment) | with endpoint A and B, is the set consisting of the distinct points A and B and all points between A and B. |

ray | with endpoint A and containing a second point B, consists of the points on AB(ray) and all points for which B is between each of them and A. Rules: (ray)AB is not the same as (ray)BA, they would travel in opposite directions therefore the order matters! |

Distance Postulate | a.) Uniqueness Property - on a line, there is a unique distance between two points, (only one correct answer). |

b.) Distance Formula - if two points on a line have coordinates x and y then the distance between them is (x-y). | |

c.) Additive Property - if b is on (segment) AC, then AB+BC=AC |

Created by:
nigel.flynn