Name: ______________________________________________ Period: ______________
Geometry 7.1-7.3 Quiz (a)
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 9 feet long and the model is 6 inches long. What is the ratio of the length
of the car to the length of the model?
a. 18 : 1
b. 1 : 18
c. 9 : 6
d. 6 : 9
____
2. If
then 3a = ____.
a. 3b
____
b. 10b
3. If
d. 6b
c.
d.
c. E; DC
d.
, which equation must be true?
a.
____
c. 5b
b.
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. Write a similarity statement for the triangles.
D
53°
G
60°
67°
60°
C
E
F
H
a.
b.
____
c.
d.
6.
What is the measure of
?
R
)
U
)
47°
63°
))
))
Q
S
T
a. 70
V
b. 110
c. 250
d. 35
Explain why the triangles are similar. Then find the value of x. (show work!!)
7.
)
x
7
12
)
____
8
Not drawn to scale
a.
1
2
b.
1
AA Postulate; 10
2
SSS Postulate; 10
c.
2
3
d.
2
AA Postulate; 4
3
SAS Postulate; 4
Solve the proportion.
8.
9.
Name: ______________________________________________ Period: ______________
10. On a blueprint, the scale indicates that 6 cm represent 15 feet. What is the length of a room that is 9 cm long
and 4 cm wide on the blueprint?
11. ABCD ~ WXYZ. AD = 6, DC = 3, and WZ = 59. Find YZ. The figures are not drawn to scale.
X
B
W
A
Y
C
D
Z
12. The pentagons are similar. Find the value of the variables.
x– 3
8
y–2
2.5
4
16
13. Are the triangles similar? If so, explain why.
30.4°
84.6°
84.6°
65°
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
A
M
8
7.5
C
N
15. 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.
16. Michelle 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.
Name: ______________________________________________ Period: ______________