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Geometry Collection in the Classroom

Page history last edited by Math in a Box - Susan Johnsey gm 4 years, 9 months ago

 

Geometry Collection in the Classroom  by   - Susan Johnsey                          

                                                                                                  Click WIKI above to return to home.

Examples for each column to complete below.

Section  (see number in book) or Lesson number (online)

Type-   definition, postulate, property, theorem, corollary,..... or undefined for point, line and plane (see bottom page 5).

Name or number   Segment addition postulate or postulate 2.

Section and type 
Name (word) and/or its number  AND  the STATEMENT
Diagram

1-1

 

definition

Equidistant - equally distant or same distance apart

1-2

undefined

see bottom pg 5

POINT  it is a place or position on your paper or screen. A point does not really have a length or width.   It is so small we can not see it for it has no dimensions.

 

1-2

definition

 Space - set of all points.  Where can you imagine a point?  There is space.
 

1-2

undefined

see bottom pg 5

 

PLANE -   It extends in 2 dimensions forever.  It has no edges.  It is like a table top  that is without bound, goes on forever or a wall or floor that continue forever.  It is totally covered in POINTS;  we label a few of them with capital letters.  We must label at least 3 points if we use points to name the plane.

We can label the plane with one letter; see the M.

 
   There are 4 planes here that intersect.  Pretend all planes continue forever.   The line RP is vertical and continues forever; it intersects plane M at point P in this diagram.

1-2

definition

COPLANAR POINTS-  All points that are in the same plane.

Points X and Z and P in the diagram above are coplanar. Points Y and Q and X are coplanar too. What other point is coplanar with Y, Q and X?  

1-2

undefined

see bottom pg 5

 

LINE-  It continues forever in two directions; it is "straight".  It is covered in points also.  WE should label at least 2 of the points.


          

<----.-------------------------.---->

        A                                 K

   

 

 

     

1-3

Postulate

Segment Addition Postulate   or postulate 2   I prefer the SAP rather than post. 2.

The sum of the parts of a line segment create the whole segment.

AJ+ JC = AC   or   AC+ CK=AK   or       AJ+JC+CK= AK

 

     .--------.----------.---------------.        

     A         J               C                      K

 

 

 

 

 

1-5

Postulate

Postulate 6

Through any two points there is exactly one line.

 

<----.-------------------------.----> 

        A                                 K

I can draw only 1 line through these 2 points.