Name:________________________
Geometry: Chapter 7 Test A
Per:________
Date:_____________
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Solve the proportion.
____
1.
a.
1
25
b. 5
c. 1
d. 25
____
2. 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?
a. 22.5 ft
b. 1.5 ft
c. 6 ft
d. 16.5 ft
____
3. A model is built having a scale of 1 in: 150 ft. How high would a 488-ft mountain be in the
model? Give your answer to the nearest tenth of an inch.
a. .3 in.
b. 73200.0 in.
c. 3.3 in.
d. 638.0 in.
____
4. Figure
a.
____
. Name a pair of corresponding sides?
b.
c.
5. Determine whether the parallegorams are similar.
a. similar
b. not similar
c. not enough information
d.
State whether the triangles are similar. If so, write a similarity statement and the postulate
or theorem you used.
____
6.
B
O
5
12
5
7.5
A
M
8
7.5
C
N
a.
b.
; SSS
; SAS
c.
; AA
d. The triangles are not similar.
Solve for a and b.
____
____
7.
a.
c.
b.
d.
8. Which proportion is true for the following figure?
a.
XY
ZW

ZW MN
b.
ZM WN

XZ YW
c.
XZ YW

WN ZM
d.
XM
YN

MN MN
Short Answer
9. The length of a rectangle is 26 inches and the width is 15 inches. What is the ratio, using whole
numbers, of the length to the width?
Ratio _____________________
For #10, #11 and #12 solve the proportion.
10.
6
5

3n 3n  1
n = ______________
11.
a = ______________
12.
x 4

8 10
x = ______________
13. 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
YZ = _____________
The polygons are similar, but not necessarily drawn to scale. Find the values of x and y.
14.
x = _____________
y = _____________
For #15 and #16 state the postulate or theorem that determines the triangles are similar.
Then find the value of x.
15.
)
x
7
)
12
8
Not drawn to scale
Thm/Post _______________
x = ________
16.
6
8
>
4
>
x
Not drawn to scale
Thm/Post _______________
x = ________
17. 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.
Height of Flagpole ______________
For #18 and #19 find the geometric mean of the pair of numbers.
18. 4 and 16
Geometric Mean __________
19. 5 and 6
Geometric Mean __________
20.
Find the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale.
7
21
Altitude __________
For #21 and #22 solve for x.
x = _____________
21.
>
24
36
x
>
12
>
x = _____________
22.
x
3
8
Not drawn to scale
23. Given:
. Find the length of
. The diagram is not drawn to scale.
A
6
P
12
B
Q
18
C
AQ = ____________
For #24 and #25 determine whether the triangles are similar. If so, write a similarity
statement and the postulate or theorem that justifies your answer.
24.
Similar (Y/N): _____________
Thrm/Post: _____________
Similarity Statement: _____________
25.
Similar (Y/N) ____________
Reason: ____________
Similarity Statement: _____________
Find the value of the missing variable x.
26.
x = _____________
Extra Credit!!!
Given: AB//DE
Prove: ABC~EDC