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Geometry Semester 1 chapter 1
N/A
44
Mathematics
10th Grade
12/19/2010

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Term
Undefined Terms
Definition
point, line, and plane: bc they are only explained using examples and descriptions
Term
point
Definition
location with neither shape nor size
Term
line
Definition
made up of points and has no thickness or width
Term
plane
Definition
flat surface made up of points that extends infinitely in all directions
Term
collinear points
Definition
points that lie on the same line
Term
coplanar points
Definition
points that lie in the same plane
Term
intersection
Definition
set of points 2 or more geometric figures have in common
Term
definitions/defined terms
Definition
explained using undefined terms and/or other defined terms
Term
space
Definition
boundless, 3 demensional set of all points
Term
line segment
Definition
has two endpoints
Term
betweeness of points (between)
Definition
for any 2 points a and b on a line, there is another point c b/w a and b if and only if a, b, and c are collinear
Term
face
Definition
flat surface
Term
constructions
Definition
methods of creating these figures without the benefit of measuring tools
Term
distance
Definition
length of the segment with those points as its midpoints
Term
midpoint of a segment
Definition
the point halfway between the endpoints of the segment
Term
segment bisector
Definition
any segment, line, or plane that intersects a segment at its midpoint
Term
ray
Definition
part of line
Term
opposite rays
Definition
2 rays, have common endpoint
Term
angle
Definition
formed by two noncollinear rays that have common end point
Term
side
Definition
rays of angle
Term
vertex
Definition
common endpoint
Term
interior
Definition
point is in the interior if it doesnt lie on the angle itself and it lies on a segment with endpoints that are on the sides of the angle
Term
exterior
Definition
point is on the exterior if it is neither on the angle nor in the interior of the angle
Term
degree
Definition
units angles are measured in
Term
edge
Definition
line segments where faces intersect
Term
vertex
Definition
point where 3 or more edges intersect
Term
prism
Definition
polyhedron w/ 2 congruent faces
Term
angle bisector
Definition
ray that divides an angle into two congruent angles
Term
adjacent angles
Definition
2 angles that lie in same plane and have a common vertex and a common side, bu no common interior points
Term
linear pair
Definition
pair of adjacent angles with noncommon sides that are opposite rays
Term
vertical angles
Definition
2 nonadjacent angles formed by 2 intersecting lines
Term
vertex of polygon
Definition
vertex of each angle
Term
concave
Definition
if any of lines contain any point in the interior of polygon
Term
perpendicular
Definition
lines, segments, or rays that form right angles
Term
polygon
Definition
closed figure formed by finite number of coplanar segments called sides
Term
convex
Definition
polygon for which there is no line that contains both side of polygon and a point in the interior of poygon
Term
n-gon
Definition
polygon with n sides
Term
equilateral polygon
Definition
polygon in which all sides are congruent
Term
equiangular polygon
Definition
polygon in which all angles are congruent
Term
regular polygon
Definition
convex polygon that is both equilateral and equiangular
Term
perimeter
Definition
sum of lengths of sides of polygon
Term
circumference
Definition
distance around circle
Term
area
Definition
number of square units needed to cover surface
Term
polyhedron
Definition
solid w/ all flat surfaces that enclose single region of space
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