Free Printable Length of similar shapes

1.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

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.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

4.

Find the length of x

a)

x = 1

b)

x = 2

c)

x = 7

d)

x = 1/7

5.

Triangle ABC and XYZ are similar. Use your knowledge of scale factor to find the length of X.

a)

20

b)

25

c)

100

d)

40

6.

Find the missing side length.

a)

9

b)

6

c)

8

d)

7

7.

Find missing side

a)

5

b)

7

c)

9

d)

11

8.

Solve for X.

a)

36

b)

27

c)

45

d)

56

9.

The pair of figures is similar. Find the missing side.

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

10.

What is the scale factor of these similar shapes?

a)

10

b)

7

c)

9

d)

11

11.

The pair of figures is similar. Find the missing side.

a)

x = 1

b)

x = 3

c)

x = 9

d)

x = 5

12.

What are the missing sides of the triangle?

a)

11 and 12

b)

13 and 11

c)

11 and 14

d)

13 and 12

13.

The pair of figures is similar. Find the missing side.

a)

x = 9

b)

x = 28

c)

x = 7

d)

x = 63

14.

Find x.

(a)

15.

What is the scale factor of these similar shapes (from the left triangle to the right triangle)?

a)

10

b)

7

c)

9

d)

11

16.

Triangle ABC and XYZ are similar, ABC is the copy and XYZ is the original shape. What is the scale factor for triangle XYZ to ABC?

a)

2

b)

½

c)

⅖

d)

5/2

17.

What is the area scale factor from B to A?

a)

$5$

b)

$\frac{1}{5}$

c)

$\frac{1}{25}$

d)

$25$

18.

What is the scale factor of these two shapes from BIG triangle to SMALL triangle?

a)

2

b)

$\frac{1}{10}$

c)

10

d)

$\frac{1}{2}$

19.

Triangle ABC and XYZ are similar. Use your knowledge of scale factor to find the length of X.

a)

20

b)

25

c)

100

d)

40

20.

How do you find the scale factor of triangle A to triangle B?

a)

Add them together

b)

14 divided by 7

c)

20 Divided by 7

d)

20 Multiplied by 7

21.

The following shapes are similar, the smaller one is the original shape, what is the scale factor?

a)

8:12

b)

3:2

c)

4:8

d)

6:12

22.

The pair of figures is similar. Find the missing side.

a)

x = 9

b)

x = 28

c)

x = 7

d)

x = 63

23.

What is the scale factor of these similar shapes?

a)

10

b)

7

c)

9

d)

11

24.

Find missing side

a)

5

b)

7

c)

9

d)

11

25.

Find the length of x

a)

x = 1

b)

x = 2

c)

x = 7

d)

x = 1/7

26.

Are the triangles similar?

a)

Yes

b)

No

27.

Are the triangles similar?

a)

Yes

b)

No

28.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

29.

All angles in similar figures are congruent.

a)

True

b)

False

30.

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.

31.

Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?

a)

22.5 cm

b)

8 cm

c)

10.8 cm

d)

30 cm

32.

The two parallelograms above are similar.
What is the length in inches of line segment PQ?

a)

40 in.

b)

34 in.

c)

38 in.

d)

14 in.

33.

The pair of figures is similar. Find the missing side.

a)

x = 1

b)

x = 3

c)

x = 9

d)

x = 5

34.

Marvin's son is 3 ft tall. He casts a shadow of 1 foot. Marvin casts a shadow of 2.5 ft. How tall is Marvin?

a)

3 ft

b)

7.5 ft

c)

1.2 ft.

d)

0.8 ft.

35.

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

36.

Are any of these cylinders similar? Figures not to scale.

a)

A & B are similar

b)

B & C are similar

c)

A & C are similar

d)

None are similar

37.

The solids are similar. Find the missing dimension.

a)

24 feet

b)

10 feet

c)

16 feet

d)

25 feet

38.

The solids are similar. Find the missing dimension b.

a)

18 m

b)

10 m

c)

8 m

d)

6 m

39.

The pair of figures is similar. Find the missing side.

a)

x = 1

b)

x = 3

c)

x = 9

d)

x = 5

40.

What is the scale factor?

a)

4

b)

.25

c)

5

d)

6

41.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

42.

Find the value of y.

a)

24

b)

16

c)

6

d)

54

43.

The pair of figures is similar. Find the missing side.

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

44.

What is the scale factor of these similar shapes?

a)

10

b)

7

c)

9

d)

11

45.

What is the scale factor of these similar shapes?

a)

10

b)

7

c)

9

d)

11

46.

Calculate the value of the scale factor between the 2 triangles

a)

2.5

b)

3

c)

3.5

d)

4

47.

The pair of figures is similar. Find the missing side.

a)

x = 12

b)

x = 3

c)

x = 40

d)

x = 4

48.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

49.

What is the scale factor from ΔDEF to ΔABC?

a)

1/2

b)

7/3

c)

2

d)

10/3

50.

The two rectangles are scale drawings. What is the measurement of x?

a)

21

b)

1.25

c)

20

d)

4

Length of similar shapes

Total questions: 50

Worksheet time: 3hrs 55mins

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