Geometry Collection in the Classroom by - Susan Johnsey
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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
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Name (word) and/or its number AND the STATEMENT
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Diagram
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1-1
definition
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Equidistant - equally distant or same distance apart
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1-2
undefined
see bottom pg 5
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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.
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1-2
definition
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Space - set of all points. Where can you imagine a point? There is space.
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1-2
undefined
see bottom pg 5
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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.
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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.
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1-2
definition
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COPLANAR POINTS- All points that are in the same plane.
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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?
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1-2
undefined
see bottom pg 5
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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.
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<----.-------------------------.---->
A K
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1-3
Postulate
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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
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.--------.----------.---------------.
A J C K
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1-5
Postulate
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Postulate 6
Through any two points there is exactly one line.
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<----.-------------------------.---->
A K
I can draw only 1 line through these 2 points.
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