Free Printable Dilations and Similar Figures Test Review

Worksheets

Dilations and Similar Figures Test Review

Total questions: 20

Worksheet time: 41mins

Name

Class

Date

Solve for x

x = 1/10

x = 10

x = 4

x = 5

Solve for x

x = 15

x = 11

x = 1/11

x = 20

Solve for x

x = 16

x = 28

x = 1/26

x = 26

Solve for x

x = 6

x = 25

x = 28

x = 17

Solve:

$\frac{v}{7}=\frac{10}{2}$

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

x = 20

x = 12

x = 5

x = 4

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

x = 10

x = 4

x = 2

x = 5

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

x = 22

x = 2

x = 16

x = 8

Tell whether the two figures are similar. Explain your reasoning.

Yes, similar because they are the same shape and side lengths are proportional.

No, not similar because they are the same shape, but side lengths are not proportional.

Yes, same shape

No, different sizes

10.

Are these triangles similar?

Yes

11.

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?

87 km

216 km

33 km

192 km

12.

From Denver to Chicago = 3 in. If the scale is 1 in = 300 miles, find the actual distance.

300 miles

1000 miles

900 miles

600 miles

13.

A baby elephant that is 3 ft tall casts a

shadow that is 9 ft long. Find the height

of a baby giraffe that casts a 18 ft shadow.

14.

A 6 ft tall man standing next to a lawn

ornament casts a 18 ft shadow. If the lawn

ornament casts a shadow that is 12 ft long,

then how tall is it?

15.

A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. How tall is the building?

9 m

15.2 m

12 m

17.5 m

16.

Kameron, who is 4.5 ft tall, is outside during recess. He casts a 9 ft shadow. If the closest tree to Kameron is 18 ft tall, how long is the tree’s shadow?

36 ft

9 ft

27 ft

32 ft

17.

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

(5,3)

(20,12)

(-20,-12)

(-5,-3)

18.

Dilate the figure by a scale factor of 3. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

A'(9,9) B'(18,18) C'(27,9)

A'(6,6) B'(9,9) C'(12,6)

A'(0,0) B'(3,3) C'(6,0)

A'(1,1) B'(2,2) C'(3,1)

19.

Does the image show a Dilation and what is the scale factor?

Yes; k = 2

Yes; k = 1/2

No, it's a translation.

No, it's a reflection.

20.

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)

Reset

Dilations and Similar Figures Test Review

Total questions: 20

Worksheet time: 41mins

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