Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# 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 |

Created by:
oliviak17307