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Scale Factor and Similarity Practice

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger. (smaller on top)

a)

3 : 10

b)

1 : 2

c)

7 : 10

d)

4 : 5

2.

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger. (smaller on top)

a)

7 : 9

b)

1 : 6

c)

1 : 3

d)

1 : 2

3.

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger. (smaller on top)

a)

1 : 6

b)

5 : 6

c)

1 : 2

d)

7 : 9

4.

The polygons in each pair are similar. Find the missing side length.

a)

30

b)

28

c)

33

d)

20

5.

Solve for x. The polygon in each pair are similar.

a)

6

b)

10

c)

12

d)

11

6.

State if the triangles in each pair are similar.  If so, state how you know they are similar and complete the similarity statement.

a)

similar; SSS similarity; ΔSUR\Delta SUR

b)

similar; SSS similarity; ΔURS\Delta URS

c)

similar; AA similarity; ΔURS\Delta URS

d)

not similar

7.

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

a)

similar; SSS similarity; ΔTML\Delta TML  

b)

not similar

c)

similar; SSS similarity;  ΔMTL\Delta MTL  

d)

similar; SAS similarity;  ΔMTL\Delta MTL  

8.

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

a)

similar; SAS similarity; ΔCBD\Delta CBD

b)

similar; AA similarity; ΔBCD\Delta BCD

c)

not similar

d)

similar; AA similarity; ΔCBD\Delta CBD

9.

Solve for x. The triangles in each pair are similar.

a)

5

b)

7

c)

8

d)

12

10.

The polygons in each pair are similar. Find the missing side length.

a)

23

b)

12

c)

57

d)

35

11.

Solve for x. The polygon in each pair are similar.

a)

11

b)

9

c)

5

d)

6

12.

If CDEF is the original preimage and STQR is the new image, what is the scale factor?

a)

4/3

b)

6/8

c)

3/4

d)

8/6

e)

Not similar.

13.

The two figures are similar. Solve for x.


Type your answer as a number with no spaces or punctuation.

(a)  

14.

The two figures are similar. Solve for z.


Type your answer as a number with no spaces or punctuation.

(a)  

15.

Angle N is congruent to Angle (a)  


(Type the letter only. No spaces or punctuation)