Point, Line, and Plane Postulates

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line intersection postulate

if two lines intersect, then their intersection is exactly one point.

three point postulate

through any 3 non collinear points, there exists exactly one plane.

two point postulate

through any two points, there is exactly one line.

plane intersection

If two planes intersect, then their intersection is a line.

plane line postulate

If two points lie in a plane, then the line that contains them lies in the plane.

line-point postulate

a line contains at least two points.

plane-point postulate

a plane contains at least 3 non collinear points.


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