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# Skill 1

### Geometry Project Skill level 1

Term | Definition |
---|---|

Coordinate | The number or numbers associated with the location of a point on a line, a plane, or in space |

Coordinatized | a line on which every point is identified with exactly one number and every number is identified with a point on the line |

Distance between two points on a coordinatized line | the length of a segment perpendicular to the planes with an endpoint in each plane |

Plane coordinate geometry | The study of geometric figures using points as ordered pairs of real numbers |

horizontal line | A line with equation y = k on the coordinate plane |

vertical line | A line with an equation x = h on the coordinate plane |

oblique line | a line that is neither horizontal not vertical |

Standard form of an equation of a line | an equation of a line in the form Ax + By = C, where A and B are not both zero |

Slope-intercept form of an equation of a line | A linear equation of the form y = mx + b, where m is the slope and b is the y-intercept |

y-intercept | In the equation of a line, the value of y when x = 0 |

Slope | In the coordinate plane, the change in y-values divided by the corresponding change in x-values |

Discrete point | Points described as dots |

discrete line | lines made up of discrete points |

discrete geometry | The study of discrete points and lines |

graph theory | The geometry of networks |

arc | (A) a path from one point (node) of a network to another point. (B) A set of points made up of two points A and B on a circle (its endpoints) and all points on the circle between A and B/ |

network | a union of points (its vertices, or nodes) and segments (its arcs) connecting them, also called graph |

node (even node, odd node) | an endpoint of an arc in a network. also called vertex |

verticles, vertex | See angle, network, polygon. Plural Vertices |

transversable network | a network in which all the arcs may be traced exactly once without picking up the tracing instrument |

Circularity | the "circling back" that sometimes occurs when one tries to define basic terms; returning to the word that one is trying to define |

underfined terms | a term used without a specific mathematical definition |

figure | a set of points |

space | The set of all points in a geometry |

collinear | points that lie on the same line |

plane figure | a set of points that are all in one plane |

coplanar | points lying in the same plane |

one-dimensional | A space, type of geometry, or figure in which all points are collinear |

two-dimensional | A space, type of geometry, or figure in which all points are coplanar |

three-dimensional | a space, type of geometry, or figure in which all points do not lie in a single plane |

postulate | a statement assumed to be true |

theorem | A statement that follows from postulates, definitions, and other statements already proved. |

Euclidean geometry | The collection of propositions about figures that includes or from which can be deduced those given by the mathematician Euclid around 250 BCE |

parallel lines | Two coplanar lines that have no points in common or are identical |

ray | The set consisting of the distinct points A and B, all points between A and B and all points for which B is between the point A. |

opposite rays | AB and AC are opposite rays if and only if A is between B and C |