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# Geo. Definitions Ch1

### For quiz on September 11, 2009

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

adjacent angles | two angles that lie in the same plane, have a common vertex and a common side, but no common interior points |

angle | the intersection of two noncollinear points at a common endpoint. The rays are called sides and and the common endpoint is called the vertex. |

area | The number of square units needed to cover a surface |

between | for any two points, /A/ and /B/ on a line, there is another point /C/ between /A/ and /B/ if and only if /A/, /B/, and /C/ are collinear and /A/C/ + /C/B/ = /A/B/ |

betweeness of points | for any two points, /A/ and /B/ on a line, there is another point /C/ between /A/ and /B/ if and only if /A/, /B/, and /C/ are collinear and /A/C/ + /C/B/ = /A/B/ |

circumference | the distance around a circle |

collinear | points that lie on the same line |

complementary angles | two angles with measures that have a sum of 90 |

concave polygon | A polygon for which there is a line containing a side of the polygon that also contains a point in the interior of the polygon |

cone | A solid with a circular base, a vertex not contained in the same plane as the base, and a lateral surface area composed of all points in the segments connecting the vertex to the edge of the base |

congruent | having the same measure |

construction | A method of creating geometric figures without the benefit of measuring tools. Generally, only a pencil, straightedge, and compass are used. |

convex polygon | A polygon for which there is no line that contains both a side of the polygon and a point in the interior of the polygon |

coplanar | points that lie in the same plane |

cylinder | A figure with bases that are formed by congruent circles in parallel planes |

angle bisector | a ray that divides an angle into two congruent angles |

bases | the two parallel congruent faces of a polyhedron |

degree | a unit of measure used in measuring angles and arcs. An arc of a circle with a measure of 1 degree is 1/360 of the entire circle |

edges | The line segments where the faces intersect |

face | each flat surface of a polyhedron |

line | A basic undefined term of geometry. A line is made up of points and has no thickness or width. In a figure, a line is shown with an arrowhead at each end. |

linear pair | A pair of adjacent angles whose non-common sides are opposite rays. |

line segment | A measurable part of a line that consists of two points, called endpoints, and all of the points between them. |

midpoint | The point on a segment exactly halfway between the endpoints of the segment. |

plane | A basic undefined term of geometry. A plane is a flat surface made up of points that has no depth and extends indefinitely in all directions. In a figure, a plane is often represented by a shaded, slanted four-sided figure. |

point | A basic undefined term of geometry. A point is a location. In a figure, points are represented by a dot. Points are named by capital letters. |

polygon | A closed figure formed by a finite # of coplanar segments called sides such that the following conditions are met: The sides that have a common endpoint are collinear; Each side intersects exactly 2 other sides, but only at their endpoints (vertices). |

segment bisector | A segment, line, or plane that intersects a segment at its midpoint |

space | A boundless three-dimensional set of all points |

sphere | In space, the set of all points that are a given distance from a given point, called the center. |

undefined term | Words, usually readily understood, that are not formally explained by means of more basic words and concepts. The basic undefined terms of geometry are point, line, and plane. |

vertical angles | Two nonadjacent angles formed by two intersecting lines |

Created by:
aostudent