## Geometry Ch 1 Postulates & Theorems

##### Created by:

StryMom  on September 26, 2011

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# Geometry Ch 1 Postulates & Theorems

 Postulate 1.1Expansion Postulate
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#### Definitions

Postulate 1.1 Expansion Postulate
Expansion Postulate A line contains at least two points. A plane contains at least 3 noncollinear points. Space contains at least 4 noncoplanar points.
Postulate 1.2 Line Postulate
Line Postulate Any 2 points in space lie in exactly one line.
Postulate 1.3 Plane Postulate
Plane Postulate Three distinct noncollinear points lie in exactly one plane.
Postulate 1.4 Flat Plane Postulate
Flat Plane Postulate If 2 points lie in a plane, then the line containing these 2 points lies in the same plane.
Postulate 1.5 Plane Intersection Postulate
Plane Intersection Postulate If 2 planes intersect, then their intersection is exactly one line.
Theorem 1.1 If 2 distinct lines intersect, they intersect in one and only one point.
Theorem 1.2 A line and a point not on that line are contained in one and only one plane.
Theorem 1.3 Two intersecting lines are contained in one and only one plane.
Theorem 1.4 Two parallel lines are contained in one and only one plane.

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