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CHAPTER 1 REVIEW. POINT. M. Point M. Lines. Lines have infinite amount of points. O. N. M. A. B. Notation: AB or BA not CB, CA, BC or AC !. A Line segment consists of two endpoints and all the points between those endpoints. C. M. L.

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Point
POINT

M

Point M


Lines
Lines

Lines have infinite amount of points

O

N

M


A line segment consists of two endpoints and all the points between those endpoints

A

B

Notation: AB or BA

not CB, CA, BC or AC !

A Line segment consists of two endpoints and all the points between those endpoints.

C


Ray part of a line consisting of one endpoint and all points on one side of the line

M

L

Ray : part of a line consisting of ONE endpoint and all points on one side of the line .

A

named LM or LA

(not AM, MA or ML !)


Planes
Planes

M

Plane M

J

OR

H

Plane JHK

Plane JKH

K

Plane KJH

Plane KHJ

Plane HKJ

Plane HJK

Plane MKJ


What does each symbol mean
What does each symbol mean?

line AB

AB

AB

ray AB

segment AB

no symbol means length

length of segment AB


Practice what s in a name

A

R

P

Practice – What’s in a name?

List all of the possible names for each shape

<ARP

<PRA

<R

<RAP

<ILO

<OLI

<L

<LIO

I

O

1

N

2

L

Name this angle


Chapter 1 review

Parallel lines – Coplanar lines that never intersect


Segment addition postulate
Segment Addition Postulate

If B is between A and C, then AB + BC = AC

A

B

C


Angle addition postulate
Angle Addition Postulate

If is between then

B

X

A

C


Postulate 5
Postulate 5

A line contains at least two points

Just a point…all alone, no line 

P

Two points are needed to make a line!


Postulate 51
Postulate 5

A plane contains at least three points not all in one line.

A

B

C


Postulate 52
Postulate 5

Space contains at least four points not all in one plane.



Chapter 1 review

Postulate 7: Through any three non-collinear points, there is exactly one plane.

A

B

C


Postulate 8
Postulate 8

If two points are in a plane, then the line that contains the points is in that plane

B

A


Chapter 1 review

m

Postulate 9: two planes intersect in a line.

P

K



Theorem 1 2
Theorem 1-2 in exactly

Through a line and a point not in the line, there is exactly one plane.

A

B

C


Theorem 1 3
Theorem 1-3 in exactly

If two lines intersect, then exactly one plane contains the lines

B

A

D

C