Name:_____________________________ Per:______ Date:__________
Solve each problem while justifying your steps. Your work should be on the left and reasons for each step
should be on the right. Reasons must come from your proof reasons sheet. You also MUST show all work to
receive full credit.
1.) mABC  2 x  1, mCBD  3x , mABE  5x  8 , and ABC  DBE , Find the value of x, justify each
step.
Statements
Reasons
Check: Find all angles measurements to check your
answer
2.) EG=100, Find the value of x, justify each step.
Statements
Reasons
Check: Find all segment lengths to check your answer
Week 1
Name:_____________________________ Per:______ Date:__________
Solve each problem while justifying your steps. Your work should be on the left and reasons for each step
should be on the right. Reasons must come from your proof reasons sheet. You also MUST show all work to
receive full credit.
3.) M is the midpoint of RT, RM  5x  9 and MT  8x  36 . Draw a picture that represents this situation and
then find the value of x , justify each step.
Statements
Reasons
Check: Find all segment measurements to check your
answer
4.) WR bisects AWB , mAWR  x and mBWR  4 x  48 . Draw a picture that represents this situation and
then find the value of x , justify each step.
Statements
Reasons
Check: Find all angle measurements to check your
answer
Week 2
Name:_____________________________ Per:______ Date:__________
Solve each problem while justifying your steps. Your work should be on the left and reasons for each step
should be on the right. Reasons must come from your proof reasons sheet. You also MUST show all work to
receive full credit.
5.) Given: line m line n
line n line p
Prove: 1  4
Statements
Reasons
6.) Given: 1  2
4  1
Prove: line n line p
Statements
Week 3
Reasons
Name:_____________________________ Per:______ Date:__________
Solve each problem while justifying your steps. Your work should be on the left and reasons for each step
should be on the right. Reasons must come from your proof reasons sheet. You also MUST show all work to
receive full credit.
7.) Given: line m line o
16  8
Prove: 1  7
Statements
Reasons
8.) Given: 1  5
7  13
Prove: line m line o
Statements
Week 4
Reasons
Name:_____________________________ Per:______ Date:__________
Solve each problem while justifying your steps. Your work should be on the left and reasons for each step
should be on the right. Reasons must come from your proof reasons sheet. You also MUST show all work to
receive full credit.
A
9.) Find the value of
Statements
for the figure to the right. Justify each step.
Reasons
100
117
B 105
E
E
F
x
115
C
D
F
Check: Plug x in to check your work.
10.) The sum of the measures of the angles of a polygon with n sides is given. Find n if the sum of the measure of the
angles is 2880. Justify each step.
Statements
Reasons
Check: Plus n in to check your work.
Week 5
Name:_____________________________ Per:______ Date:__________
Solve each problem while justifying your steps. Your work should be on the left and reasons for each step
should be on the right. Reasons must come from your proof reasons sheet. You also MUST show all work to
receive full credit.
D
11.) Given: ̅̅̅̅
B
̅̅̅̅ bisect each other
C
Prove:
E
A
12.) Given: a || b,
Prove: c || d
Week 6
2  3
Name:_____________________________ Per:______ Date:__________
Solve each problem while justifying your steps. Your work should be on the left and reasons for each step
should be on the right. Reasons must come from your proof reasons sheet. You also MUST show all work to
receive full credit.
13.) Given:
̅̅̅̅̅ ̅̅̅̅̅
Prove:
Y
X
Z
W
14.) Given: a || b and 1  5
Prove: 4  6
Week 7
Name:_____________________________ Per:______ Date:__________
Solve each problem while justifying your steps. Your work should be on the left and reasons for each step
should be on the right. Reasons must come from your proof reasons sheet. You also MUST show all work to
receive full credit.
15.) Given: ̅̅̅̅
Prove:
̅̅̅̅
̅̅̅̅
P
S
Q
T
R
H
16.) Given: ̅̅̅̅
Prove:
̅̅̅̅
̅̅̅̅
B
A
Week 8
F
Name:_____________________________ Per:______ Date:__________
Solve each problem while justifying your steps. Your work should be on the left and reasons for each step
should be on the right. Reasons must come from your proof reasons sheet. You also MUST show all work to
C
receive full credit.
17.) Given: ̅̅̅̅
Prove:
̅̅̅̅ ̅̅̅̅
̅̅̅̅
A
18.) Given: CBA  EAB; EA  CB
Prove: E  C
Week 9
R
B
Name:_____________________________ Per:______ Date:__________
Solve each problem while justifying your steps. Your work should be on the left and reasons for each step
should be on the right. Reasons must come from your proof reasons sheet. You also MUST show all work to
receive full credit.
B
19.) Given:
Prove:
A
C
D
20.)
Week 10