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Euclidean Postulates aka Axioms

Through any two points there is exactly one line.

Through any three non-collinear points there is exactly one plane containing them.

If two points lie in a plane, then the line containing those points lies in the plane.

If two lies intersect, then they intersect in exactly one point.

If two planes intersect, then they intersect in exactly one line.

The points on a line can be put into a one- to-one correspondence with the real numbers. (Ruler Postulate)

If B is between A and C, then AB + BC = AC. (Segment Addition Postulate)

Given AB and a point O on AB, all rays that can be drawn from O can be put into a one-to-one correspondence with the real numbers from 0 to 180. (Protractor Postulate)

If S is in the interior of anglesymbolPQR, then manglesymbol1PQS + manglesymbol2SQR = manglesymbol3PQR. (Angle Addition Postulate)

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