Math Proprties

Reflexive Property

a=a

Symmetric Property

If a=b then b=a

Transitive

If a=b and b=c then a=c

Addition Property

If a=b then a+c=b+c

Subtraction Property

If a=b then a-c=b-c

Multiplication Property

If a=b then a*c=b*c

DIvision Property

If a=b then a/c=b/c

Substitution Property

If a=b then A may be replaced in any equation with B

Distributive Property

a(b+c)=ab+ac

SAP

AB + BC = AC

Angle addition postulate

angle ABC + angle DBC = angle ABD

Definition of Midpoint

If B is the midpoint of AC then AB and BC are equal or AB and BC are congruent

Definition of a Bisector

If a line bisects an angle they halves are equal

Definition of Congruence

If A and B are congruent then A=B

Definition of Right Angles

All right angles are 90°

All right angles are congruent

If A and B are both right angles they are both congruent

Definition of a linear pair

If two angles form a linear pair, they are supplementary

Vertical angles are congruent

If two angles are vertical they are congruent

Definition of complementary

If two angles are complementary the sum of their measures =90°

Definition of supplementary

If two angles are supplementary the sum of their measures = 180°

Congruent complements theorem

Congruent Supplements theorem

Definition of Perpendicular Lines

If two lines are perpendicular the angles that they create are all 90°