Geometry Review - Postulates

Postulate 1

Ruler Postulate: The points on a line can be paired with the real numbers in such a way that any 2 points can have coordinates 0 and 1.

Postulate 2

Segment Addition Postulate: If A is between C and R then CA + AR = CR

Postulate 3

Protractor Postulate

Postulate 4

The Angle Addition Postulate: If point P lies in the interior of <aoq><aop><poq><aoq><aob><aoc><cob><AOB.

Postulate 5

a line contains at least 2 points. a plane contains at least 3 points not all in one line. space contains at least 4 points not all in one plane.

Postulate 6

through any 2 points there is exactly 1 line

Postulate 7

through any 3 points there is at least 1 plane. through any 3 noncollinear points there is exactly 1 plane

Postulate 8

if 2 points are in a plane then the line that contains the points is in that plane

Postulate 9

if 2 planes intersect then their intersection is a line

Postulate 10

If 2 parallel lines are but by a transversal then corresponding angles are congruent

Postulate 11

If 2 lines are cut by a transversal and corresponding angles are congruent then the lines are parallel