Geometry Postulates

Front 1

Postulate 1-1

Back 1

Through any two points there is exactly one line.

Front 2

Postulate 1-2

Back 2

If two lines intersect then they intersect in exactly one point

Front 3

Postulate 1-3

Back 3

If two planes intersect, they nitersect in exactly one line

Front 4

Postulate 1-4

Back 4

Through any noncolinear points ther is exactly one plane

Front 5

Ruler Postulate 1-5

Back 5

The points of a line can be put into one-to one correspondence with the real numbers so that the distance between any two points is the absolute value of the difference of the corresponding numbers.

Front 6

Segment Addition Postulate 1-6

Back 6

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

Front 7

Protractor Postulate

Back 7

Let OA + OB be opposite rays in a plane. OA, OB and all the rays with endpoint O that can be drawn on one sode of AB can be paired with the real numbers from 0 to 180 so that OA is paired with O and OB is paires with 180. If OC is paired with x and OD is paired with y, then m COD =
x-y

Front 8

Postulate 1-9

Back 8

If two figures are confruent, then their areas are equal

Front 9

Postulate 1-10

Back 9

The area of a region is the sum of the areas of its overlapping parts

Front 10

Angle Addition Postulate

Back 10

If point B is in the interior of

Front 11

Distance Formula

Back 11

The distance

Front 12

Mid-point formula

Back 12

The coordinates of the midpoint

Front 13

Distance Formula (Three-Dimensional)

Back 13

In a three dimensional coordinate system, the distance