WorksheetsPerimeters and Areas using scale factor
Total questions: 60
Worksheet time: 4hrs 46mins
Name
Class
Date
1.
What is the scale factor if the triangle on the left is the original?
a)
2
b)
3/2
c)
2/3
d)
1/2
2.
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
3.
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
4.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
5.
What is the scale factor from ABCD to MNOP?
a)
2/3
b)
3/2
c)
2
d)
3
6.
The distance between two cities on a map is 4.125 inches. Find the actual distance if the scale on the map is 2 inches = 40 miles.
a)
165 miles
b)
50 miles
c)
82.5 miles
d)
41.25 miles
7.
a)
0.25
b)
0.5
c)
2
d)
1/2
8.
The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?
a)
12 feet
b)
16 feet
c)
10 feet
d)
4 feet
9.
Which triangle is similar to the above triangle ?
a)
A
b)
B
c)
C
d)
D
10.
a)
The area will stay the same
b)
The area will double
c)
The area will triple
d)
The area will quadruple
11.
If the scale factor is 4, what is the measurement of x?
a)
20 m
b)
24 m
c)
16 m
d)
4 m
12.
What is the scale factor from triangle ABC to triangle DEF?
a)
2
b)
3/2
c)
2/3
d)
1/2
13.
What is the scale factor?
a)
4
b)
.25
14.
A flagpole and a model flag pole have a scale factor of 1 in.= 4 ft. If the model pole measures 12 inches, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
15.
What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
16.
If a Scale Factor is between 0 and 1, then your figure gets...
a)
Smaller
b)
Bigger
c)
Does not change
17.
If a Scale Factor if greater than 1, then your figure gets...
a)
Smaller
b)
Bigger
c)
Does not change
18.
Joe's picture of a dog was 5 inches by 6 inches. He redrew it to be 20 inches by 24 inches. His new drawing is ___________ times larger.
a)
6
b)
5
c)
4
d)
¼
19.
Joe's picture of a cat was 6 inches by 8 inches. I copied it. It is now 3 inches by 4 inches. My copy is _____________of the original.
a)
⅙
b)
¾
c)
¼
d)
½
20.
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
21.
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
22.
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
23.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
24.
All angles in similar figures are congruent.
a)
True
b)
False
25.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
26.
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?
a)
144 feet
b)
72 feet
c)
36 feet
27.
The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?
a)
12 feet
b)
16 feet
c)
10 feet
d)
4 feet
28.
A flagpole is 1 in.= 4 ft. If the pole measures 12 inches, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
29.
If the actual dimensions of the kitchen are 24 ft. by 24 ft., what is the scale of the drawing?
a)
1cm : 9ft
b)
1cm : 8ft
c)
4cm : 1ft
d)
1cm : 4ft
30.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in
b)
7 in
c)
42 in
d)
56 in
31.
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
32.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
33.
What is the scale factor from MNOP to ABCD?
a)
2/3
b)
1/2
c)
3/2
d)
2
34.
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
35.
If the original is 12 units and the scale factor is 1/4 what is the size of the scale drawing?
a)
300
b)
4.8
c)
3
d)
4
36.
Which triangle is similar to the above triangle ?
a)
A
b)
B
c)
C
d)
D
37.
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
38.
A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?
a)
x = 19 cm
b)
x = 24 cm
c)
x = 3 cm
d)
x = 16.5 cm
39.
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
40.
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
41.
a)
A
b)
B
c)
C
d)
D
42.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
43.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
44.
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
45.
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
46.
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?
a)
144 feet
b)
72 feet
c)
36 feet
47.
The blueprint(drawing) of this house has a length of 6 inches. The actual house has a length of 18 feet. What is the scale used?
a)
1 inch: 3 feet
b)
1 inch: 6 feet
c)
3 inches: 6 feet
d)
3 inches: 12 feet
48.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in
b)
7 in
c)
42 in
d)
56 in
49.
From Denver to Chicago = 3 inches. If the scale is 1 inch = 300 miles, find the actual distance.
a)
300 miles
b)
1000 miles
c)
900 miles
d)
600 miles
50.
A drawing of a flagpole uses the scale 1 in = 4 ft. If the pole measures 12 inches in drawing, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
51.
Find side length X.
a)
30
b)
25
c)
15
d)
40
52.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
53.
Similar Figures are...
a)
figures that are the same size and the same shape.
b)
Figures that have corresponding angles that are congruent and corresponding sides that are congruent
c)
figures that have the same shape but not necessarily the same size.
d)
Figures that are the same size but different shapes.
54.
Complete each proportion.
CB / DM = AC / ?
CB / DM = AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
55.
Review the picture. Find the missing side measurement in the picture using a proportion.
a)
w = 18 m
b)
w = 6 m
c)
6 m
d)
w = 0.16 m
56.
A tree is 72 feet tall and has a shadow that is 12 feet long. A nearby tree has a shadow of 5 feet. How tall is the tree?
a)
3 ft.
b)
300 ft.
c)
30 ft.
d)
35 ft.
57.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
58.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
59.
Sides in similar figures must be proportional.
a)
True
b)
False
60.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional
b)
proportional, congruent
c)
congruent, congruent
d)
proportional, proportional
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