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Chapter 7 Review

Total questions: 43

Worksheet time: 2hrs 35mins

Name
Class
Date
1.
a)

7

b)

12

c)

6

d)

4

2.

Find the value of X.

a)

4

b)

6

c)

12

d)

7

3.
a)

45°:117°:18°

b)

45°:18°:117°

c)

35°:115°:20°

d)

35°:120°:22°

4.

The ratio of the interior angle measures of a hexagon is 3:3:4:1:5:4. What is the measure of the smallest angle? Enter just the number.

(a)  

5.
**** On a map, the distance between two towns in 2.6 cm. The scale of the map is 1 cm:50 km. What is the actual distance between the two towns?
a)
100 km
b)
130 km
c)
70 km
d)
150 km
6.
Robbie made a scale drawing of a neighborhood park. A soccer field in the park is 14 inches long in the drawing. The actual field is 98 yards long. What is the scale of the drawing?1 inch = _ yards
a)
1372
b)
5
c)
14
d)
7
7.
The height of a telephone pole on a map is 6 cm. The scale is 2cm:20m. What is the actual height of the telephone pole?
a)
6 m
b)
10 m
c)
18 m
d)
60 m
8.

Adam drafts his favorite modular home on a scale drawing. The drawing scale is 2 inches for each foot. If the drawing is

60 inches long, how long is the actual modular home?

a)

120 in

b)

120 ft

c)

30 in

d)

30 ft

9.

A map has a scale of 2 cm for every 25 miles. The distance on the map between Griffin Park and the San Diego Zoo is 10 cm. How far is the actual distance?

a)

125 mi

b)

250 mi

c)

20 mi

d)

5 mi

10.
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
a)
(5,3), (6,2), (1,-2)
b)
(6,0), (9,-3), (-6,-15)
c)
(2/3,0), (1,-1/3), (-2/3,-5/3)
d)
(-1,-3), (0,-4), (-5,-8)
11.

The scale factor of two similar figures is 4 : 5. What is the ratio of their perimeters?

a)

4 : 5

b)

16 : 25

c)

64 : 125

d)

8 : 10

12.
Find the missing perimeter.
a)
15
b)
20
c)
25
d)
30
13.

The figures are similar. What is the ratio of their perimeters?

a)

18/24

b)

3/4

c)

1/2

d)

36/24

14.

What is the area ratio of the following rectangles?

a)

10/7

b)

100/49

c)

100/36

d)

4/36

15.
The area of triangle A is 54 and triangle B is 150. What is the scale factor of A to B? 
a)
9:25
b)
27:75
c)
3:5
d)
25:9
16.

Two hexagons are similar with a scale factor of 4/5. If the area of the larger hexagon is 20, what is the area of the smaller hexagon?

a)

10.24

b)

12.8

c)

16

d)

25

17.

If the ratio of 2 round dinner plates is 2 : 5, what is the ratio of their areas?

a)

2 : 5

b)

1 : 5

c)

4 : 10

d)

4 : 25

18.
a)
5
b)
-5
c)
25
d)
-25
19.

Solve for y

(5+y)(y3)=1410\frac{\left(5+y\right)}{\left(y-3\right)}=\frac{14}{10}  

(a)  

20.

Select the solution(s) to the proportion:

x712=4xx+7\frac{x-7}{12}=\frac{4x}{x+7}  

a)

-1 and 49

b)

1 and -49

c)

1 and 49

d)

-1 and -49

21.

Select the solution(s) to the proportion:

x32=xx6\frac{x-3}{2}=\frac{x}{x-6}  

a)

9 and 2

b)

-9 and 2

c)

-9 and -2

d)

9 and -2

22.

Select the solution(s) to the proportion:

8x=x18\frac{8}{x}=\frac{x}{18}  

a)

-2 

b)

-8 and 8

c)

-12 and 12

d)

12

23.
Fill in the missing part of the proportion statements (left proportion): 
a)
VO
b)
EO
c)
DO
d)
IE
24.
Fill in the missing part of the proportion statements (right proportion): 
a)
VO
b)
EO
c)
DO
d)
IE
25.
Find the value of x.
a)
x = 4.5
b)
x = 9
c)
x = 30
d)
x = 3
26.

Solve for x.

(a)  

27.

Solve for y.

(a)  

28.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
29.
QR is a midsegment of triangle BCD. Solve for the value of x.
a)
11
b)
18
c)
9
d)
-7
30.

Solve for x.

(a)  

31.

Solve for x by factoring. Then, find CE. (Remember that you will not have lengths that are negative.)

(a)  

32.

Find the perimeter of ΔMNP\Delta MNP   .




(a)  

33.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
34.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
35.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
36.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
37.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
38.

If there is a 1:2 linear ratio between two similar solids, what is the volume ratio?

a)

1:2

b)

1:4

c)

1:8

d)

1:6

39.

Two similar solids have a volume ratio of 27:125. What is the linear ratio?

a)

27:125

b)

9:25

c)

3:5

d)

1:3

e)

1:5

40.

Find the missing length.

a)

10

b)

21

c)

35

d)

9

41.

Find the missing length.

a)

25

b)

15

c)

6

d)

16

42.

Find the missing length.

a)

15

b)

11

c)

35

d)

8

43.

Solve for x.

a)

10

b)

9

c)

6

d)

5