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Worksheets

similar figure, perimeter and area

Total questions: 25

Worksheet time: 25mins

Name
Class
Date
1.
Find the ratio (red to blue) of the perimeter.
a)
11/6
b)
6/11
c)
121/36
d)
36/121
2.
Find the ratio (red to blue) of the area.
a)
11/6
b)
6/11
c)
121/36
d)
36/121
3.
Find the ratio (red to blue) of the perimeter.
a)
9/14
b)
14/9
c)
196/81
d)
81/196
4.
Find the ratio (red to blue) of the area.
a)
9/14
b)
14/9
c)
196/81
d)
81/196
5.
Find the ratio (blue to red) of the perimeter.
a)
4/7
b)
7/4
c)
49/16
d)
16/49
6.
Find the ratio (blue to red) of the area.
a)
4/7
b)
7/4
c)
49/16
d)
16/49
7.
Find the ratio (blue to red) of the perimeter.
a)
64/25
b)
25/64
c)
5/8
d)
8/5
8.
Find the ratio (blue to red) of the area.
a)
64/25
b)
25/64
c)
5/8
d)
8/5
9.

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

10.

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

11.

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

12.

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

13.
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
14.
Find the missing perimeter.
a)
15
b)
20
c)
25
d)
30
15.

What is the area ratio of the following rectangles?

a)

10/7

b)

100/49

c)

100/36

d)

4/36

16.

A figure is dilated by a scale factor of 4. Which of the following statements about the figure must be true?

a)

The perimeter and area are both multiplied by 4.

b)

The perimeter is multiplied by 4 and the area is multiplied by 16.

c)

The perimeter and area are both divided by 4.

d)

The perimeter is multiplied by 16 and the area is multiplied by 4.

17.

The figures below are similar. The labeled sides are corresponding.

What is the perimeter of the smaller hexagon?

a)

5 cm

b)

1/6 cm

c)

6 cm

d)

not enough info

18.

The figures below are similar. The labeled sides are corresponding.

What is the ratio of the perimeter of the smaller pentagon to the larger pentagon?

a)

9:5

b)

25:81

c)

5:9

d)

81:25

19.

The figures below are similar. The labeled sides are corresponding.

What is the perimeter of the smaller triangle?

a)

23.8 mm

b)

10.2 mm

c)

6.67 mm

d)

4.3 mm

20.

The figures below are similar. The labeled sides are corresponding.

If the ratio of the squares' perimeters is 8:3, what is the value of x?

a)

8 mm

b)

4.5 mm

c)

12 mm

d)

36 mm

21.

The figures below are similar. The labeled sides are corresponding.

What is the area of the larger square?

a)

25 m2

b)

1.25 m2

c)

20 m2

d)

16 m2

22.

The figures shown are similar. The areas of each figure is given.

What is the ratio of the side length of the smaller triangle to the larger triangle?

a)

4:49

b)

2:7

c)

1:7

d)

1:25

23.

The figures below are similar. The labeled sides are corresponding.

What is the ratio of the areas of the smaller pentagon to the larger pentagon?

a)

9:5

b)

25:81

c)

5:9

d)

81:25

24.

What does similar mean?

a)

same shape and same size

b)

same size but different shapes

c)

sames shape but not necessarily the same size

d)

neither

25.
What does congruent mean?
a)
same shape and same size
b)
same size
c)
sames shape
d)
neither