Plane Line Postulate

A plane contains two points of a line. Through any two points there is exactly one line.

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Through any three points not on the same line there is exactly one plane.

Plane line postulate. If two points lie in a plane then the line containing them lies in the plane. A line contains at least two points. Point line and plane postulates.

A plane contains at least three noncollinear points. Use the diagram shown below to give examples of postulates 1 through 7. M p s figure 16 4 two planes postulate.

A b r s figure 16 5 space postulate. It is accepted as fact without formal proof. There are at least four noncoplanar points in space.

If two points lie in a plane then the line joining them lies in that plane. A plane contains at least three noncollinear points. If two planes intersect then their intersection is a line.

A postulate also called an axiom is a statement that is assumed to be true. Through any three noncollinear points there is exactly one plane. In geometry the point line plane postulate is a collection of assumptions axioms that can be used in a set of postulates for euclidean geometry in two plane geometry three solid geometry or more dimensions.

Through any two points there is exactly one line. The common part of two intersecting planes is a line figure 16 5. A line contains at least two points.

Then the line is on the plane figure 16 4.

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