Name ___________________
Chapter 4 Test Review
Geometry Honors
1. Given: LMN  UVW . Complete the statements.
A. UW  _____
B. VW  ______
C. LM  ______
D. M  ____
E. U  _____
F. N  _____
For 2-11, state the postulate or theorem (SSS, SAS, ASA, AAS, or HL) that could be used
to prove the triangles congruent. If the triangles cannot be proven congruent, write not
possible.
Q
B
S
2.
3.
M
J
4.
K
L
H
R
T
_________
5.
__________
U
6.
V
W
7.
N
T
G
H
X
9.
M
U
L
T
S
U
V
_________
__________
__________
D
E
G
F
V
W
___________
H
10.
S
T
11.
G
___________
K
J
Y
M
__________
8.
E
D
F
L
K
C
___________
P
J
D
A
___________
For 12 and 13, complete each proof.
12.
A
Given: AB  DC , AB  CD
Prove: ABC  CDA
B
D
C
Statements
1. AB  CD
Reasons
1. Given
2.
2. AC  AC
3.
3. AB
DC
4. BAC  DCA
4.
5. ABC  CDA
5.
Q
13.
K
A
Given: BK  BA, QB bisects KBA
Prove: KB  AB
B
Statements
Reasons
1.
1. Given
2. KBQ  ABQ
2.
3.
3. Reflexive
4. KBQ  ABQ
4.
5. KB  AB
5.
For 14 and 15, write a two-column proof.
14.
Given: P  T , R is the midpoint of PT
P
S
Prove: PQR  TSR
R
Q
T
Statements
Reasons
M
15.
Given : MN  MP , NO  PO
P
N
Prove : N  P
O
Statements
Reasons
For 16 and 17, write a two-column proof, a paragraph proof, OR a flow proof.
16.
Given : ON bisects JOH, J  H
O
Prove : JN  HN
J
N
H
17.
Given: MK  MJ, MJ  NJ, MN  KJ
M
Prove: MJN  JMK
N
J
K
18. What is the measure of each base angle of an isosceles triangle if its vertex angle
measures 30 degrees and its 2 congruent sides measure 16 units?
16
30°
16
19. Use information in the figure below to find m  D.
E
130°
D
F
20. In ABC , if AB  BC and mA  39 , then mC  ______.
21. Given
and
, find the length of QS and TV.
22. The two triangles are congruent as suggested by their appearance. Find the value of c. The diagrams
are not to scale.
d°
48°
g
7
b
f°
e°
4
42°
3
c
23. Justify the last two steps of the proof.
Given:
Prove:
S
Proof:
1.
2.
3.
4.
R
and
1. Given
2. Given
3.
4.
T
U
24. What additional information will allow you to prove the triangles congruent by the HL Theorem?
A
B
|
C
|
D
E
25. What common side do
A
B
C
D
E
F
G
H