Question

If G and H are different points in plane R, then a third point exists in R not on line gh.

Answer 1

Select the postulate that proves this fact.


Postulate 1: A line contains at least two points.

Postulate 1a: A plane contains at least three points not all on one line.

Postulate 1b: Space contains at least four points not all on one plane.

Postulate 2: Through any two different points, exactly one line exists.

Postulate 3: Through any three points that are not one line, exactly one plane exists.

Postulate 4: If two points lie in a plane, the line containing them lies in that plane.

Postulate 5: If two planes intersect, then their intersection is a line.

Answer 2

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