###
Unique Measure Assumption

every angle has a unique measure from 0 degrees to 180 degrees

###
Unique Angle Assumption

given a ray and any real number between 0 and 180 there is one unique angle

###
Straight Angle Assumption

if ray BA and ray BC are opposite rays then m<ABC = 180 degrees

###
Zero Angle Assumption

if ray XY and ray XZ are the same ray then m<XYZ = 0 degrees

###
Angle Addition Assumption

If angles AVC and CVB are adjacent angles, then m<AVC + m<CVB = m<AVB

###
Corresponding Angles Postulate

a. If 2 corresponding angles have the same measure, then the lines are parallel

b. If 2 lines are parallel, then the corresponding angles have the same measure

###
Linear Pair Theorem

if 2 angles form a linear pair, then they are supplementary

###
Vertical Pair Theorem

if 2 angles are vertical angles, then they have equal measures

###
Parallel Lines and Slopes Theorem

2 non-vertical lines are parallel if and only if they have the same slope

###
Perpendicular Lines and Slopes Theorem

2 non-vertical lines are perpendicular if and only if the product of their slopes is -1

###
Symmetric Property

if a = b, then b = a

###
Transitive Property

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

###
Addition Property of Equality

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

###
Subtraction Property of Equality

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

###
Multiplication Property

if a = b, then a x c = b x c

###
Division Property of Equality

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

###
Transitive Property of Inequality

if a < b and b < c, then a < c

###
Addition Property of Inequality

a < b, then a + c < b + c

###
Multiplication Property of Inequality

if a < b, then a x c < b x c (if c > 0)

if a < b, then a x c > b x c (if c < 0)

###
Substitution Property of Equality and Inequality

if a = b, then a may be substituted for b

### Please allow access to your computer’s microphone to use Voice Recording.

## We can’t access your microphone!

### Click the icon above to update your browser permissions and try again

Example:

### Reload the page to try again!

Reload

## Press Cmd-0 to reset your zoom

## Press Ctrl-0 to reset your zoom

### It looks like your browser might be zoomed in or out. Your browser needs to be zoomed to a normal size to record audio.

## Your microphone is muted

### For help fixing this issue, see this FAQ.