Geometry
Name:----------------------
Name ________________________________________________ Period_________ Due Date:___________
For Exercises 1-12, write the letter of each property next to its definition.
If a  b, then b  a _______
1.
A.
Addition Property of Equality
2.
If a  b, then ac  bc _______
B.
Subtraction Property of Equality
3.
AB  AB _______
C.
Multiplication Property of Equality
4.
a  a _______
D.
Division Property of Equality
5.
If a  b, then a  c  b  c
E.
Reflexive Property of Equality
6.
If ab  c  ab  ac _______
F.
Symmetric Property of Equality
7.
If a  b and b  c, then a  c _______
G.
Transitive Property of Equality
8.
If P  Q, then Q  P _______
H.
Substitution Property of Equality
9.
If A  B and B  C , then A  C ______ I.
10.
If a  b, and c  0, then
11.
If a  b, then b can be substituted for a _______ K.
Symmetric Property of Congruence
12.
If a  b, then a  c  b  c _______
Transitive Property of Congruence
a b
 _______
c c
J.
L.
Distributive Property
Reflexive Property of Congruence
Write a justification for each step.
13.
14.
DE  EF  DF
______________________
HJ  HI  IJ
1

 x  1  7  11
3

______________________
7 x  3  2x  6  3x  3 ____________________
1
x  8  11
3
______________________
7 x  3  5x  3
________________________
1
x3
3
______________________
7 x  5x  6
________________________
x9
______________________
2x  6
________________________
________________________
________________________
x3
Use the figure to solve questions 15 and 16. Solve for n and justify each step.
X
V
n
n
W
15.
mXYZ  m2  m3
Z
WYV
n
XYZ
n
16.
mWYV  m1  m2