Geometry

a=a

if a=b then b=a

if a=b and b=c, then a=c

if a =b, then a+c = b+c

if a=b, then a-c= b-c

if a=b, then a times c= b times c

AxC = BxC

if a=b, then a/c=b/c

(c does not equal 0)

if a=b, then you may replace b with a in any expression

a(b+c)=ab+ac

Through any 2 points, there is exactly one line

Through any 3 collinear points there is exactly 1 plane.

A line contains at least 2 points

A plane contains at least 3 points, not all on the same line

If 2 points lie on a plane then the entire line containing those 2 points lies in that plane

Two lines intersect in a line

Two planes intersect in a line

IF M is midpoint of segment AB, then segment AM is congruent to segment MB

The points on any line or line segment can be paired with real numbers so that, given any 2 points, A and B on a line, A corresponds to zero, and B corresponds to a positive real number

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

Congruence of segments is reflexive, symmetric, and transitive

Given