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8 terms

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.
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.