math properties

#PV

addition

if A=B then A+C=B+C

subtraction

if A=B then A-C=B-C

multiplication

if A=B then AxC=BxC

division

if A=B then A/C=B/C

distributive

a(b+c), then a(b+c) = ab+ac

substitution

if a=b then A may be replaced by B in any expressio or equation

reflexive

for any real number a a=a ( a value will always equal itself)

symmetric

if 3=x then x=3

transative

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

definition of congruence

segments are congruent if and only if they have the same measure

definition of midpoint

the midpoint of a segment divides it into 2 equal parts

segment addition

AB+BC=AC

definition of right angle

an angle measures 90 degrees if and only if it is a right angle

definition of complementary angles

2 angles are complementary if and only if the sum of their measures is 90 degrees

definition of supplementary angles

2 angles are complementary if and only if the sum of their measures is 180 degrees

definition of angle bisector

an angle bisector divides and angle into 2 equal parts

definition of perpendicular

perpendicular lines for right angles

angle addition

the measure of angle ABD+ the measure of angle DBC= the measure of angle ABC

vertical angles are congruent

if 2 angles are vertical, then they are congruent

right angle theorum

if 2 angles form a right angle, then they are complimentary

complimentary of same angles are congruent

if 2 angles are complimentary to the same angle, then they are congruent

supplementary of same angles are congruent

if 2 angles are supplementary to the same angle, then they are congruent