Corresponding Angles Postulate – If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.Perpendicular Postulate – If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.Parallel Postulate – If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.Linear Pair Postulate – If two angles form a linear pair, then they are supplementary.If two planes intersect, then their intersection is a line.If two points lie in a plane, then the line containing them lies in the plane.

A plane contains at least three noncollinear points.

Through any three noncollinear points there exists exactly one plane.

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

Through any two points there exists exactly one line.

Angle Addition Postulate – If P is in the interior of angleRST, then angleRSP + anglePST = angleRST.If AB + BC = AC, then B is between A and C. Segment Addition Postulate – If B is between A and C, then AB + BC = AC.The distance between points A and B, written as AB, is the absolute value of the difference between the coordinates of A and B. The real number that corresponds to a point is the coordinate of the point. Ruler Postulate – The points on a line can be matched one to one with the real numbers.

Postulate geometry