Name: __________________________________________ Period: _______________
Geometry 7.1-7.3 Quiz (b)
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. A model is made of a car. The car is 2 meters long and the model is 5 centimeters long. What is the ratio of
the length of the car to the length of the model?
a. 2 : 5
b. 40 : 1
c. 1 : 40
d. 5 : 2
____
3. If
, which equation must be true?
a.
____
b.
2. If
d.
c. 14b
d. 16b
c. E; DC
d.
then 7a = ____.
a. 8b
____
c.
b. 7b
4.
. Complete the statements.
A
G
E
B
F
H
D
J
C
a.
b.
GH

AB
DJ
a.
; DC
b. E; AE
; AE
Name: __________________________________________ Period: _______________
____
5.
What is the measure of
?
R
)
U
)
47°
63°
))
))
Q
S
T
a. 70
____
V
b. 110
c. 250
d. 35
6. Write a similarity statement for the triangles.
D
53°
G
60°
C
67°
60°
E
F
H
a.
b.
c.
d.
Explain why the triangles are similar. Then find the value of x.
____
7.
)
x
14
)
24
15
Not drawn to scale
a.
b.
AA Postulate; 8
c.
3
4
SSS Postulate; 22
2
5
3
4
d.
2
AA Postulate; 22
5
SAS Postulate; 8
Short Answer
Solve the proportion.
8.
9.
Name: __________________________________________ Period: _______________
10. On a blueprint, the scale indicates that 6 cm represent 19 feet. What is the length of a room that is 10.8 cm
long and 4 cm wide on the blueprint?
11. ABCD ~ WXYZ. AD = 8, DC = 2, and WZ = 34. Find YZ. The figures are not drawn to scale.
X
B
W
A
Y
C
D
Z
12. Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the
diagram. What is the distance between the two campsites? The diagram is not to scale.
13. The pentagons are similar. Find the value of the variables.
x– 3
8
y–2
2.5
4
16
Name: __________________________________________ Period: _______________
State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you
used.
14.
B
5
O
12
5
7.5
8
A
M
7.5
C
N
15. Michele wanted to measure the height of her school’s flagpole. She placed a mirror on the ground 48 feet
from the flagpole, then walked backwards until she was able to see the top of the pole in the mirror. Her eyes
were 5 feet above the ground and she was 12 feet from the mirror. Using similar triangles, find the height of
the flagpole to the nearest tenth of a foot.
16. Are the triangles similar? If so, explain why.
30.4°
84.6°
84.6°
65°
Name: __________________________________________ Period: _______________