high school geometry Postulates and Theorems

Congruent angles

Angles that have equal measures and shapes

Equal Angles

The measures in degrees of two angles are the same

Complimentary angles

Angles that add up to 90

Adjacent Angles

1. Have a common vertex

2. Share a common side

3. Have no common interior points

Linear pair

1. Adjacent angles with non common rays extending in opposite directions (forming a line)

2. Are supplementary

Angle Addition Postulate

If a point lies in the interior of a bigger angle that smaller angle and the other smaller angle add up to the bigger angle

Postulate axiom

Statement that are accepted as true without proof

Postulate 1

Through any two points there is exactly one line

Postulate 2

Through any three noncollinear points, there is exactly one plane

Postulate 3

A line must have at least two points

Postulate 4

A plane contains atleast three non col linear points

Postulate 5

If two points lie in a plane, then the entire line containing those two points lies in that plane

Postulate 6

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

Postulate 7

If two planes intersect, then their intersection is one line

Midpoint thr.

If B is the midpoint of AC then AB +BC=AC

Vert angle thr

If two angles are vertical angles they are congruent

Congruent supplements thr

If two angles are supplementary to the same angle then they are congruent to each other

Supplement the

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

Complement thr

If the non common sides of two adjacent angles form a right angle, then the angles are complementary angles

Congruent complements

If two angles are complementary to the same angle then they are congruent to each other