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## Glencoe Geometry

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acute angle

An angle that measures between 0° and 90°

adjacent angles

two angles that have a common vertex and side but no common interior points

angle

formed by two rays with a common endpoint

angle bisector

a ray that divides an angle into two congruent angles

area

The measure, in square units, of the inside of a plane figure.

base of a prism

between

When three points are collinear, you can say that one point is ____________ the other two.

circumference

The distance around a circle

collinear

on the same line

complementary angles

Two angles whose sum is 90°.

concave

cone

a solid figure with one circular base and one vertex

congruent

Having the same size and shape

construction

uses compass and straightedge, but no measuring tools

convex

polygon where no points of the lines are in the interior

coplanar

points, line, segments, rays that are on same plane

cylinder

a solid with congruent parallel circular bases connected by a curved surface

degree

Unit of measurement for an angle that is 1/360 of a circle

distance

length of segment from one endpoint to the other

distance formula

edge

The line segment where two faces of a solid figure meet.

equiangular polygon

polygon which all angles are congruent

line

A basic undefined term of geometry; extend indefinitely and have no thickness or width.

line segment

two endpoints and all the points between the endpoints

linear pair

two adjacent angles with their noncommon sides forming opposite rays

midpoint

The point that divides a segment into two congruent segments.

midpoint formula

obtuse angle

an angle that measures more than 90 degrees and less than 180 degrees

opposite rays

Two rays that have a common endpoint and form a line.

perimeter

the distance around

perpendicular

two lines, rays, or segments that form a 90 degree angle

plane

A flat surface that extends in all directions containing at least 3 noncollinear points.

platonic solid

point

a specific location in space

polygon

a closed plane figure formed by three or more line segments

polyhedron

a 3D figure whose faces are polygons

prism

polyhedron with two parallel congruent faces called bases connected by parallelogram faces

pyramid

A solid figure that has triangles for its sides and a polygon as its base

ray

part of a line that has one endpoint and extends infinitely in one direction

regular polygon

a polygon in which all sides are congruent an all angles are congruent

regular polyhedron

all faces are regular congruent polygons. all edges are congruent

right angle

An angle that is exactly 90.

segment bisector

The segment that cuts another segment at its midpoint

sphere

supplementary angles

surface area

The sum of the areas of the faces of a geometric solid

vertex of an angle

point where two lines, line segments, or rays meet to form an angle

vertex of a polygon

where segments on a polygon meet

vertical angles

two nonadjacent angles formed by intersecting lines or segments

volume

the amount of three-dimensional space enclosed in a geometric solid

## Glencoe Geometry Chapter 1 Vocabulary

undefined terms

point, line, and plane

point

location

line

made up of points and has no thickness or width

collinear

points on the same line

plane

a flat surface made up of points

coplanar

points on the same plane

A point is named by:

a capital letter

Line is named by:

letters representing the points or a lowercase script letter

Plane is named by:

a capital script letter or by the letters naming three noncollinear points

Space

boundless, three-dimensional set of all points

Line segment

can be measured because it has two endpoints

Midpoint

point that devides the segment into two congruent segments

segment bisector

Any segment,line, or plane that intersects a segment at its midpoint is called this:

Degree

What we measure angles with

Ray

Part of a line with one endpoint and the other end extends infinately

Opposite Rays

a point on the line has rays going in either direction

Angle

formed by two noncollinear rays that have a common endpoint

Right angle

90 degrees

Acute Angle

less than 90 degrees

Obtuse Angle

Between 90 and 180 degrees

Angle Bisector

Ray that divides an angle into two congruent angles

Adjacent Angles

are a pair of angles with a common vertex and a common side, but no common interior points

angle bisector

a ray that divides an angle into two congruent angles

between

in the middle of

betweeness of points

a point is between two other points on the same line

complementary angles

Two angles whose sum is 90 degrees

concave

curving inward

congruent

Having the same size and shape

construction

drawing a figure satisfying certain conditions as part of solving a problem or proving a theorem

convex

no line that contains a side of the polygon contains a point in the interior of the polygon

exterior

the outer side or surface of something

interior

the inner or enclosed surface of something

linear pair

two adjacent angles whose noncommon sides are opposite rays

n-gon

a polygon with n sides

perimeter

The distance around a figure

perpendicular

intersecting at or forming right angles

polygon

a closed figure, all straight lines, and no intersecting lines

precision

a measure of how close a series of measurements are to one another

regular

No extended lines pass through interior

irregular

Extended lines pass through interior

relative error

the ratio of absolute error to actual measure

sides

line segments that form the polygon

supplementary angles

Two angles whose sum is 180 degrees

vertex

the point of intersection of lines or the point opposite the base of a figure

vertical angles

two angles whose sides form two pairs of opposite rays

triangle

3 sides

quadrilateral

4 sides

pentagon

5 sides

hexagon

6 sides

heptagon

7 sides

octagon

8 sides

nonagon

9 sides

decagon

10 sides

dodecagon

12 sides

## Glencoe Geometry: Online Textbook Help

Anyone enrolled in a class using the Glencoe Geometry textbook should consider this companion course. You will learn the material faster, retain it longer and earn a better grade.

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