Name:________________________
Geometry: Chapter 7 Test B
Per:________
Date:_____________
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. On a blueprint, the scale indicates that 6 cm represent 10 feet. What is the length of a room that is
9 cm long and 4 cm wide on the blueprint?
a. 15 ft
b. 11.5 ft
c. 1.5 ft
d. 6 ft
Solve for a and b.
____
____
2.
a.
c.
b.
d.
3. Figure
a.
. Name a pair of corresponding sides?
b.
c.
d.
b. 8
c. 32
d.
Solve the proportion.
____
4.
a.
1
32
1
2
State whether the triangles are similar. If so, write a similarity statement and the postulate
or theorem you used.
____
5.
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.
____
6. A model is built having a scale of 1 in : 150 ft. How high would a 295-ft mountain be in the
model? Give your answer to the nearest tenth of an inch.
a. .5 in.
b. 44250.0 in.
c. 2.0 in.
d. 445.0 in.
____
7. Determine whether the parallelograms are similar.
a. similar
b. not similar
c. not enough information
____
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 30 inches and the width is 10 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

3 10
x = ____________
For #13 and #14 state the postulate or theorem that determines the triangles are similar?
Then find the value of x.
13.
)
x
8
)
12
10
Not drawn to scale
Thm/Post ______________ x = ____________
14.
7
10
>
3
>
x
Not drawn to scale
Thm/Post ______________ x = ____________
For #15 and 16 solve for x.
x = ____________
15.
>
24
36
x
>
12
>
x = ____________
16.
x
4
5
Not drawn to scale
For #17 and #18 find the geometric mean of the pair of numbers.
17. 4 and 16
Geometric Mean __________
18. 7 and 8
Geometric Mean __________
19.
Find the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale.
4
30
Altitude = _____________
20.
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 _______________
The polygons are similar, but not necessarily drawn to scale. Find the values of x and y.
21.
x = ____________
y = ____________
22. ABCD ~ WXYZ. AD = 12, DC = 3, and WZ = 32. Find YZ. The figures are not drawn to scale.
X
B
W
A
Y
C
D
Z
YZ = ____________
23. Given:
. Find the length of
. The diagram is not drawn to scale.
A
6
P
30
B
Q
25
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): _____________
Reason: _____________
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