| 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 |
