Properties
Definitions
Theorems
Postulate/other terms
Miscellaneous
100
if a=b then a+c = b+c
Addition Property
100
if m is the midpoint of AB, then AM=MB
Definition of Midpoint
100
if two angles are vertical, then they are congruent
vertical angles theorem
100
if A, B, and C are colinear Points, and B is between A and C, then AB+BC=AC
Segment Addition Postulate
100
write the midpoint fomula
200
if a=b, then a/c = b/c
division property
200
segments are congruent if and only if they have the same measure
Definition of Congruence
200
if two angles form a right angle, then they are complementary
complement theorem
200
Angle ABD + Angle DBC = Angle ABC
Angle Addition Postulate
200
Angle 1: 17
Angle 2: 167
are angles 1 and 2 supplementary?
no
300
a(b+c), then a(b+c) = ab+bc
Distributive Property
300
two angles are supplementary if and only if the sum of their measures is 180
definition of supplementary angles
300
if two angles form a linear pair, then they are supplementary
linear pair theorem (supplement theorem
300
Congruent
congruent means that two figures or objects are identical in both shape and size.
300
find the angle measure that is complementary to 23 degrees
67
400
for any real number a, a=a
(a value always equals itself)
Reflexive Property
400
Perpendicular lines form right angles
definition of perpendicular
400
if two angles complementary to the same angle, then they are congruent
congruent complements theorem
400
an angle that measures greater than 90 degrees but less than 180 degrees.
Obtuse Angles
400
Solve for X:
3x-15=-3
x=4
500
if a=b, and b=c, then a=c
Transitive Property
500
an angle bisector divides an angle into two equal parts
definition of an angle bisector
500
if two angles are supplementary to the same angle, then they are congruent
congruent supplements theorem
500
Write the distance formula
500
Solve for x:
x/8+13=22
x=9