NEW
Font size
S
M
L
XL
Worksheetssimilar
Total questions: 59
Worksheet time: 4hrs 51mins
Name
Class
Date
1.
Mrs. Ashley used similar triangles to make a design. Which statement about the triangles in the design must be true?
a)
They are the same size and shape.
b)
They are the same size but different shapes.
c)
They have corresponding angles that are congruent.
d)
They have corresponding sides that are congruent.
2.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
3.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
4.
All angles in similar figures are congruent.
a)
True
b)
False
5.
Find the measure of the missing angle.
a)
8o
b)
58o
c)
122o
d)
64o
6.
Are the triangles similar?
a)
Yes
b)
No
7.
How long is side x?
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
8.
Are the triangles similar?
a)
Yes
b)
No
9.
How long is side x?
a)
3
b)
1.5
c)
8
d)
2/3
10.
What does it mean for two shapes to be similar?
a)
Same shape, but different size.
b)
Same size and same shape.
c)
Their angles add up to 180o.
d)
They are congruent.
11.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
12.
Find the missing side
a)
6
b)
24
c)
7
d)
8
13.
Find the missing side
a)
3
b)
5
c)
4
d)
6
14.
Find the missing side
a)
3.5
b)
12
c)
6
d)
7
15.
Find the missing side
a)
125
b)
2.4
c)
349
d)
119
16.
Find the missing side
a)
15
b)
540
c)
2
d)
5
17.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
18.
Pentagon JKLMN is similar to pentagon VWXYZ.
What is the measurement of angle X?
What is the measurement of angle X?
a)
30 degrees
b)
60 degrees
c)
150 degrees
d)
120 degrees
19.
The two triangular prisms shown above are similar.
What is the value of x, the height of the larger prism?
What is the value of x, the height of the larger prism?
a)
6.8 cm
b)
4 cm
c)
6 cm
d)
7.2 cm
20.
Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?
a)
20 feet
b)
24 feet
c)
29 feet
d)
51 feet
21.
If triangles ADE and ABC shown in the figure above are similar, what is the value of x?
a)
4
b)
5
c)
6
d)
8
22.
Triangle HIJ is similar to triangle STR. What is the perimeter of triangle STR?
a)
32
b)
37
c)
40
d)
42
23.
All angles in similar figures are congruent.
a)
True
b)
False
24.
Sides in similar figures must be proportional.
a)
True
b)
False
25.
Are the following similar? Why or why not?
a)
Yes. All pairs of corresponding angles are congruent.
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
26.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
27.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
28.
A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint.
a)
7 in
b)
9 in
c)
12 in
d)
14 in
29.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
30.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree? Hint: the figures are similar triangles.
a)
8 feet
b)
72 feet
c)
36 feet
d)
144 feet
31.
Review the picture. Find the missing side measurement in the picture using a proportion.
a)
x = 900 m
b)
x = 52 m
c)
x = 25 m
d)
x = 0.04 m
32.
Find y.
a)
144
b)
18
c)
72
d)
12
33.
Gwen scans a photo that is 4 in. wide by 6 in. long into her computer. If she scales the length down to 3 in., how wide should the similar photo be?
a)
3 in
b)
2 in.
c)
4 in
d)
1 in
34.
A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner?
a)
72 in
b)
60 in
c)
62 in
d)
80 in
35.
A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint.
a)
7 in
b)
9 in
c)
12 in
d)
14 in
36.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet
37.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
38.
a)
2.4
b)
6.67
39.
Are the two ratios proportional?
a)
YES
b)
NO
40.
The space inside an object is called it's
a)
area
b)
perimeter
c)
volume
d)
circumference
41.
a)
The perimeter of the new rectangle will be the same as the perimeter of the original rectangle.
b)
The perimeter of the new rectangle will be 2.5 times as large as the perimeter of the original rectangle.
c)
The perimeter of the new rectangle will be 5 times as large as the perimeter of the original rectangle.
42.
Both the width and the volume of a rectangular prism change by a scale factor of 4. If the old width was 5 ft and the old volume was 250 cubic ft, what is the new width and volume?
a)
20 ft. and 1,000 cubic ft.
b)
1.25 ft. and 62.05 cubic ft.
c)
20 cubic ft and 1,000 ft.
d)
625 ft and 3,906,250,000 cubic ft
43.
The height of a rectangular prism was 6 ft and the volume was 399 cubic ft. The height changed to 3 ft. What is the new volume?
a)
798 cubic ft.
b)
199.5 square ft.
c)
798 square ft.
d)
199.5 cubic ft.
44.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
45.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
46.
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
47.
Jamie made a scale drawing of his apartment building. The building is 300 ft tall. He wants his scale to be 1 inch : 10 ft. How tall should his building be in his scale drawing?
a)
25 inches
b)
60 inches
c)
1/30 inch
d)
30 inches
48.
A map has a scale of 1 cm=5km. On the map, two cities are 3 cm apart. What is the actual distance between these cities?
a)
1.7 km
b)
5 km
c)
15 km
d)
17 km
49.
On a map, Memphis, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles.
What scale was used to create the map?
What scale was used to create the map?
a)
42 inches = 1 mile
b)
1 inch = 42 miles
c)
40 inches = 1 mile
d)
1 inch = 40 miles
1 inch = 40 miles
50.
Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how long is the actual air hockey table?
a)
10 Feet
b)
2.5 Feet
c)
5 Feet
d)
15 Feet
51.
Irene measured a shopping center and made a scale drawing. The scale she used was 2 inches : 1 foot. If a bakery in the shopping center is 104 inches in the drawing, how long is the actual bakery?
a)
52 ft
b)
208 ft
52.
On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?
a)
200 miles
b)
175 miles
c)
100 miles
d)
125 miles
53.
A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?
a)
90 ft
b)
7.5 ft
c)
4.5 ft
d)
45 in
54.
The original perimeter of a rectangle is 30cm, if we enlarge it by a scale factor of 4 what is the new perimeter?
a)
120
b)
480
c)
1920
55.
If the perimeter of a rectangle was 20in and now it is is 80in, what is the scale factor that was used?
a)
4
b)
2
c)
40
d)
20
56.
Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?
a)
6 cm
b)
486 cm
c)
9 cm
d)
54 cm
57.
Alan drew a scale drawing of a house and its lot. The scale he used was 1 millimeter : 5 meters. In the drawing, the lawn in the backyard is 10 millimeters long. What is the length of the actual lawn?
a)
50 m
b)
2 m
c)
10 m
d)
5 m
58.
Brody drew a scale drawing of a campsite. He used the scale 1 inch : 3 feet. If the actual width of the tent is 6 feet, how wide is the tent in the drawing?
a)
2 in
b)
1 in
c)
3 in
d)
18 in
59.
Kenny drew a scale drawing of a swimming pool. The scale of the drawing was 2 centimeters : 1 meter. If the pool is 26 centimeters in the drawing, how wide is the actual pool?
a)
13 m
b)
2 m
c)
1 m
d)
52 m
Reset
