Name:
Chapter 4 Test Review
Find x in the following triangles.
1)
2)
3)
35
25
12
X
12
75
x
2x
12
For the following, assume that CBA  YXZ and complete the following statements.
4) BA 
5) YZ 
6) AC 
7) A 
9) C 
8) B 
Use the given figure to decide if the two triangles are congruent(SAS, SSS, ASA, AAS, or
HL). If not congruent, state not congruent.
10)
A
B
K
C
J
11)
Y
L
Z
12)
D
E
I
F
P
G
X
13)
N
O
K
M
H
J
14)
E
15)
J
D
F
G
L
K
L
M
For each of the following, find the value of x using properties of isosceles and equilateral
triangles.
16)
17)
18)
30
16
2x + 4
3x
75
4x
For each of the following, prove the given statement using a two-column, paragraph, or flow
proof.
19) Given: AB  AD
1  2
Statements
Reasons
Statements
Reasons
Prove: BC  DC
B
1
A
C
2
D
20) Given:  1   2
XY  ZW
Prove:  WXY   YZW
X
Y
1
2
W
Z
21) Given: JK
MN
Statements
Reasons
JM bisects KN
1.
1.
2.  1   3
2  4
2.
3.
3. Def. of Bisector
Prove: JK  MN
J
N
2
3
L
4. 
1
4
K


M
5. JK  MN
22) Given: BD
AC
A C
B
3 4
A
5.
Statements
Prove: AD  CD
1 2
D
4.
C
Reasons
1.
1. Given
2.  1 and  2 are right
2.
3.
3. All right angles  .
4.
4. Given
5.
5.
6. 

6.

7. AD  CD
7.
23) Given
and
v = _______
=_______
24) State whether
and
_______
and
7
, find v and
are congruent. Justify your answer with all possible reasons.
7
25) Find x and y in the following.
A
y°
x°
34°
B
D
C
Drawing not to scale
S
|
|
26) Find the value of x.
(3 x – 50)°
R
(7 x )°
T
U
27) Complete the proof by providing the missing reasons.
Given:
Prove:
C
D
,
B
Statement
1.
2.
3.
4.
5.
E
Reason
,
, and
are right angles
1. Given
2. Definition of perpendicular segments
3. _________________
4. _________________
5. _________________
A
Use the given figure to decide if the two triangles are congruent(SAS, SSS, ASA, AAS, or
HL). If not congruent, state not congruent.
B
28.
29.
30.
Q
S
M
J
K
L
31.
P
J
32.
U
D
A
H
R
T
V
W
33.
F
L
34.
T
Y
M
G
35.
K
X
S
J
M
G
36.
U
H
E
D
N
K
C
H
D
E
G
F
V
L
T
W