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Geometry Honors: Notes on Postulates and Theorems
Postulate: Statement accepted without proof.
4 Postulates we already have:
1. The Ruler Postulate (to calculate distance)
2. The Protractor Postulate (to calculate angles)
3. The Segment Addition Postulate
4. The Angle Addition Postulate
Other Postulates :
* 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.
* Through any two points there is exactly one line.
* Through any three points there is at least one plane, and through any three
non-collinear points there is exactly one plane.
* If two points are in a plane, then the line that contains the points is in that plane.
* If two planes intersect, then their intersection is a line.
Theorem: An important statement that we can PROVE to be true.
* If two lines intersect, then they intersect in exactly one point.
* Through a line and a point not in the line there is exactly one plane.
* If two lines intersect, then exactly one plane contains the lines.