i hate math

the postulates

The Ruler Postulate

The difference between points A and B written as AB, is the absolute value between of the difference between coordinates A & B.

Segment Addition Postulate

if there are 3 collinear points, A, B, & C then the measure of AB + BC + AC

distance formula

(x2 - x1)²+(y2-y1)²=(AB)²

The protractor postulate

the measure of an angle is equal to the absolute value of the difference between the real numbers for the 2 rays creating the angle.

angle bisector

a line or a ray bisects an angle if and only if it divides the angle into 2 adjacent angles that are congruent.

angle addition postulate

if P is the interior angle of RST then then the measure of RSP + PST = measure of RST

properties of equalities

review page 14

midpoint

A point is the midpoint of a line if and only if it divides the segment into 2 congruent parts.

midpoint formula

A+B/2 or (x1+x2/2, y1+y2/2)

def of complementary

Two angles are complementary iff their sum is 90 degrees. Each angle is the complement of the other.

def of supplementary

Two angles are supplementary iff their sum is 180 degrees. Each angle is the supplement of each other.

complements of the same angle are always congruent.

supplements of the same angle are always congruent.