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Geo. Definitions Ch1

For quiz on September 11, 2009

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