Postulates 1-10

Postulate 1-7 Protractor Postulate

Consider ray OB and a point A on one side of ray OB. Every ray from ray OA can be paired one-to-one with a real number from 0 to 180

Postulate 1-5 Ruler Postulate

Every point on a line can be paired with a real number. This makes a one-to-one correspondence between the points on a line and the real numbers.

Postulate 1-8 Angle Addition Postulate

If point B is the interior angle of angle AOC, then the measure of angle AOB + the measure of angle BOC = the measure of angle AOC

Postulate 1-6 Segment Addition Postulate

If three points A, B, and C are collinear and B is between A and C, then AB+BC=AC

Postulate 1-9 Linear Pair Postulate

If two angles form a linear pair, then they are supplementary.

Postulate 1-3

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

Postulate 1-2

If two lines intersect, then they intersect in exactly one point

Postulate 1-10 Area Addition Postulate

The area of a region is the sum of the areas of its nonoverlapping parts.

Postulate 1-4

Through any three noncollinear points there is exactly one plane

Postulate 1-1

Through any two points there is exactly one line