independent | | to the point; no ambiguous or vague language |

unaryoperations | | all elements in the universal set not in the given set |

equivalentsets | | How many points are required for something to be noncollinear |

set | | lines that intersect at a single point |

proving | | objects of the set |

equal | | don't contradict one another |

coplanarpoints | | something that forces a decision apart from or in opposition to reason |

consistent | | sets with one-to-one correspondence |

theorem | | model based on 5 incidence postulates |

null | | a line contains 2 points; a plane contains 3 noncollinear points; space contains 4 noncoplanar points |

logic | | a group or collection of objects denoted by braces and labeled with a capital letter |

coplanarlines | | points that do not lie on the same plane |

clear | | accurate and reversible |

plane | | are the foundation to our system of geometry |

complement | | set that contains no elements |

concurrentlines | | coplanar lines that do not intersect |

disjointsets | | 3 distinct noncollinear points lie in exactly one plane |

noncollinearpoints | | don't rely on other postulates |

expansionpostulate | | repeat the pattern established by the last 3 elements |

flatplanepostulate | | refers to processes that require two sets |

binaryoperations | | points that lie in the same plane |

parallellines | | operations on a single set |

parallelplanes | | points that lie on the same line |

collinearpoints | | any 2 points in space lie in exactly one line |

linepostulate | | assumed to be true |

logic | | what makes a good geometry |

objective | | if 2 planes intersect, then their intersection is exactly one line |

line | | denoted by "U" |

universalset | | when two sets have nothing in common |

three | | flat, extends infinitely in two dimensions |

ellipse | | sets with the exact same elements |

skewlines | | another name for a postulate |

useful | | straight; extends infinitely in one direction; length, no width or thickness |

point | | a system of definitions, postulates, and theorems that is built in a logical progression |

complete | | a visual representation of sets |

incidencepostulates | | good grammar, good sentence, only necessary words |

Euclideanmodel | | spot; no dimension; a location in space |

axiom | | lines that lie in the same plane |

elements | | planes in space that do not intersect |

planeintersectionpostulate | | lines that are not coplanar |

planepostulate | | using words previously defined or commonly accepted as undefined |

concise | | process of justifying a theorem |

precise | | interrelation or sequence of facts or events when seen as inevitable or predictable |

goodpostulate | | neutral; avoids limitations of time or place |

geometry | | a statement that can be shown to be true by a logical progression of previous terms and statements |

Venndiagram | | doesn't rely on anything but postulates |

postulate | | if 2 points lie in a plane, then the line containing these 2 points lies in the same plane |