NAME
DATE
PERIOD
SCORE
Chapter 4 Review Lessons 1-6
Write the letter for the correct answer in the blank at the right of each question.
1. What is the length of the sides of this equilateral triangle?
A 42
C 22
B 30
D 12
8x – 10
4x + 6
1.
5x + 2
2. How would ABC with vertices A(3, 3), B(3, -2), and C(-3, -2) be
classified based on the length of its sides?
A equilateral
B isosceles
C scalene
D right
2.
70°
Use the figure for Questions 3 and 4.
2
1
60° 3 4
3. What is m∠3?
A 80
B 70
C 110
D 120
3.
4. What is m∠1?
A 10
B 60
C 100
D 120
4.
D
5.
A
EGS, which segment in EGS corresponds to
B
C
6. Which triangles are congruent in the figure?
ACD
BCE
A
B
ABC
EDC
C
ACB
DCE
D
BAC
CDE
C
B
Q
D 142
C6
B 11.875
D5
R
T
7.
S
J
8. If CJW
AGS, m∠A = 60, m∠J = 55,
and m∠S = 12x - 7, what is the value of x?
A 17.5
E
6.
7. The rhombus QRST is made of two congruent
isosceles triangles. Given m∠QRS = 38, what
is the measure of ∠S?
A 56
C 104
B 76
D
A
G
55°
C
W
A
60°
(12x - 7)°
S
8.
Assessment
5. If DJL
40°
NAME
DATE
PERIOD
Chapter 4 Review (continued)
9. A triangular-shaped roof of a house has congruent legs.
What is the measure of each of the two base angles?
A 55
C 100
B 50
D 120
70˚
9.
Use the proof for Question 10.
Given: L is the midpoint of
Prove: JKL
Proof:
.
N
J
MNL
K
Statements
Reasons
1. L is the midpoint of
1. Given
2.
2. Definition of midpoint
3.
M
L
||
3. Given
4. ∠JKL
∠MNL
4. (Question 10)
5. ∠JLK
∠MLN
5. Vertical angles are
6. JKL
MNL
6. (Question 11)
10. What is the reason for statement 4?
A Alternate interior angles are .
B Definition of linear pair.
11. What is the reason for statement 6?
A ASA
B AAS
C Vertical angles are .
D Corresponding angles are
C SAS
D SSS
12. Given
A 15
13. Given
find mP .
A 11
.
10.
11.
What is XY?
B 18
C 12
D 45
12.
mÐC =15x - 36 , mÐP = 5x - 24 and mR  7 x  52,
B 129
C 31
D 1.2
13.
14. The sides of an isosceles triangle have lengths 2x – 3, -x + 6. The base has length
5x + 3. What is the length of the base?
A 11
B 48
C 10
D 58
14.