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Lesson 1-1. Points, Lines & Planes. Points. How to sketch:. B. * dots. A. How to label:. C. A. * Use capital printed letters. * Never label two points with the same name (in the same sketch). Collinear Points. Collinear points are points that lie

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Lesson 1 1

Lesson 1-1

Points, Lines & Planes


Points
Points

How to sketch:

B

* dots

A

How to label:

C

A

* Use capital printed letters.

* Never label two points with

the same name (in the same sketch).


Collinear points
Collinear Points

Collinear points are points that lie

on the same line. (The line does not

have to be visible.)

Definition:

collinear

non-collinear


Lines
Lines

How to sketch:

n

NEVER

* must have arrows

at both ends

?

?

?

How to label:

?

?

?

(Two methods)

Possible Names:

1- small “script” letter

2- any two points on the line


Planes
Planes

horizontal “edges”

How to sketch:

M

* horizontal

* vertical

P

N

* other

How to label:

vertical

“edges”

(Two methods)

1- capital “script” letter

2- any three points on the plane


Planes1
Planes

How to label: #2- any three points on the plane


Planes2
Planes

How to label: any three points on the plane

How many planes do you see?


Planes3
Planes

How to label: any three (or more) points on the plane

How many planes do you see?

plane ABCD

plane ABC

plane BCD

plane CDA

plane DAB

etc.


Planes4
Planes

How to label: any three (or more) points on the plane

How many planes do you see?

plane EFGH

plane EFG

plane FGH

plane GHE

plane HEF

etc.


Planes5
Planes

How to label: any three (or more) points on the plane

How many planes do you see?

plane AEHD

plane EHD

plane HDA

plane DAE

plane AEH

etc.


Planes6
Planes

How to label: any three (or more) points on the plane

How many planes do you see?

plane BFGC

plane BFG

plane FGC

plane GCB

plane CBF

etc.


Planes7
Planes

How to label: any three (or more) points on the plane

How many planes do you see?

plane ABFE

plane ABF

plane BFE

plane FEA

plane EAB

etc.


Planes8
Planes

How to label: any three (or more) points on the plane

How many planes do you see?

plane DCGH

plane DCG

plane CGH

plane GHD

plane HDC

etc.


Planes9

plane AFGD

plane ACGE

plane ACH

Planes

How to label: any three (or more) points on the plane

Any three points

determine a plane!

plane AGF

plane BDG

etc.


Coplanar
Coplanar

Coplanar objects (points or lines) are

objects that lie on the same plane.

(The plane does not have to be visible.)

Definition:

Are they coplanar?

ABC ?

yes

ABCF ?

NO

HGFE ?

yes

EHCB ?

yes

AGF ?

yes

CBFH ?

NO