terms, notation, and representation. definitionpicture namingreal world examples point an exact...

Terms, Notation, and Representation

Definition Picture

Naming Real World Examples

Point

An exact location in space with indefinite size and shape

labeled with capital letters

A

A

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An object with no thickness that extends infinitely far in two directions

Line

X Z l

XZ or ZX

or the lower case script l

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Naming Real World Examples

Line Segmen

t

a piece of a line consisting of two endpoints and all points in between.

E A

the two points are the endpoints of the line and are used to name the line segmentAE or EA

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Naming Real World Examples

Ray

A piece of a line consisting of one endpoint and extends infinitely in one direction

the endpoint of the ray always comes firstAE

A

A

E

E

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Naming Real World Examples

Opposite Rays

Two rays sharing the same endpoint and continuing infinitely in opposite directions

I JT

TJ and TI

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Plane

a flat surface that extends infinitely in all directions

named in two ways•with a script capital letter M•using any three points that lie in the plane STR

M

S T

R

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Naming Real World Examples

Collinear

Points that lie on the same line

A B C

Points A, B, and C are collinear

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Non-Collinear

Points that DON’T lie on the same line

A B

C

Points A, B, and C are non-collinear

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Naming Real World Examples

Coplanar

Points that lie on the same plane

M

S T

R

Points S, T, and R are coplanar

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Naming Real World Examples

Non-Coplanar

Points that DON’T lie on the same plane

A

B C

Points A, B, and C are non-coplanar

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Naming Real World Examples

SkewLines

Lines that do not intersect and are not coplanar.

Lines m and n are skew lines.

n

m