Free Printable Similarity Unit Review

Worksheets

Similarity Unit Review

Total questions: 36

Worksheet time: 3hrs 38mins

Name

Class

Date

What is a Ratio?

Is a comparison of two quantities

To multiply two fractions

A number over another number

Two decimals that can be multiplied

Which of these ratios makes this a proportion? $\frac{3}{4}=$

$\frac{12}{9}$

$\frac{9}{20}$

$\frac{9}{12}$

$\frac{803}{804}$

Solve for x

x=1

x=3

x=3/5

x=2

A triangle’s angle measures are in the extended ratio of 2 : 4 : 9. Find the measures of the angles.

20^o, 40^o, 90^o

24^o, 48^o, 108^o

24^o, 32^o, 124^o

20^o, 40^o, 100^o

In my fish tank, the ratio of red fish to blue fish is 3:5. If there are 20 blue fish. How many red fish are there?

A triangle’s angle measures are in the extended ratio of 3 : 4 : 11. Find the measures of the angles.

30^o, 40^o, 90^o

30^o, 40^o, 110^o

10^o, 30^o, 140^o

40^o, 40^o, 100^o

Find the triangle similar to △ABC

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

B' (2 , 4.5)

B' (-8 ,-18)

B' (8 ,18)

B' (9 ,4)

What must the value of x be in order for the figures below to be similar?

70 feet

25 feet

5 feet

50 feet

10.

Sides that are in the same position are called

Corresponding Sides

Corresponding Angles

The Same

Congruent Sides

11.

If the scale factor is less than one, the new figure will be

an enlargement

a reduction

a scale factor

bigger

12.

Which is an example of an enlargement?

k = 1/2

k = 1

2:3

2.5

13.

Which is an example of a reduction?

k = 1/2

k = 1

3:2

250%

14.

Solve for x.

Write down your work.

6.75

85.3

15.

Complete each proportion.
AB / BM = ? / CD

16.

Is DE parallel to BC?

Yes

17.

Is this an enlargement or a reduction?

Enlargement

Reduction

18.

△A′B′C′ is the image of △ABC under a dilation. What is the scale factor of the dilation?

1/2

19.

If a dilation has a scale factor of 3/5, it can be classified as a(n) ___.

enlargement

reduction

20.

What is the formula for scale factor?

$\frac{new}{old}$

$\frac{old}{new}$

21.

The triangles are similar, solve for the question mark.

12.5

22.

Square A is a Dilation of Square B. What is the scale factor of the squares?

1/7

4/5

5/4

23.

Using a proportion, find the height of the tree.

x = 0.0625 ft.

16 ft

x = 16 ft.

24.

Solve for x.

25.

Solve for x.

x = 5

x = 3

x = 14

x = 1

26.

What is the measure of x?

27.

Solve for the variable x.

x = 8.5

x = 10

x = 1

x = 2

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.

7 in

9 in

12 in

14 in

29.

A tree casts a shadow of 3 meters, while a meter stick casts a shadow of 0.75 meters. How tall is the tree?

6 meters

5 meters

4 meters

3 meters

30.

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?

20 feet

24 feet

29 feet

51 feet

31.

Is DE 1/2 the length of BC?

Yes

32.

QR is a midsegment of triangle WXY. What is the length of segment WY?

33.

If AC = 42, find DF.

34.

QR is a midsegment of triangle WUV. What is the length of segment QR?

35.

Find x.

11.8

36.

Solve for x.

-10

-25

100 %

Similarity Unit Review

Total questions: 36

Worksheet time: 3hrs 38mins

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