Proof-Based Geometry Postulates and Theorems

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sbn96  on September 21, 2010

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Proof-Based Geometry Postulates and Theorems

Postulate 5
A line contains at least two points; a plane contains at least three points not all in one line; space contains at least four points not all in one plane.
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Postulate 5 A line contains at least two points; a plane contains at least three points not all in one line; space contains at least four points not all in one plane.
Postulate 6 Through any 2 points there is exactly one line
Postulate 7 Through any three points there is at least one plane, and through any three noncollinear points there is exactly one plane.
Postulate 8 If two points are in a plane than the line that contains the two points is in that plane.
Postulate 9 if two planes intersect, then their intersection is a line.
Theorem 1-1 If two lines intersect then they intersect in exactly one point.
Theorem 1-2 Through a line and a point not in the line there is exactly one plane.
Theorem 1-3 If two lines intersect, then exactly one plane contains the lines.

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