Free Printable Similar Figures Review

1.

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

a)

x = 10

b)

x = 4

c)

x = 2

d)

x = 5

2.

Sides in similar figures must be proportional.

a)

True

b)

False

3.

Solve for f.

a)

6

b)

4

c)

3

d)

8

4.

Matching sides are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Sides

5.

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

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

6.

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.

7.

Which side length corresponds with EF?

a)

ML

b)

LM

c)

OL

d)

EH

8.

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

9.

Find the missing side length.

a)

16

b)

12

c)

35

d)

15

10.

Which proportion is true?

a)

$\frac{y}{0.6}=\frac{0.7}{0.56}$

b)

$\frac{y}{x}=\frac{1.25}{1}$

c)

$\frac{x}{1}=\frac{0.5}{1.05}$

d)

$\frac{x}{0.5}=\frac{0.6}{1.25}$

11.

Which proportion is true?

a)

$\frac{v}{w}=\frac{5}{4.38}$

b)

$\frac{v}{6}=\frac{4.2}{2.52}$

c)

$\frac{6}{w}=\frac{5}{7.3}$

d)

$\frac{v}{6}=\frac{7.3}{2.52}$

12.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

13.

Find the missing side length.

a)

32

b)

35

c)

20

d)

16

14.

Find the missing side length.

a)

2

b)

4

c)

3

d)

6

15.

Find the missing side length.

a)

9

b)

8

c)

6

d)

12

16.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

17.

Solve for x.

a)

x = 5

b)

x = 3

c)

x = 14

d)

x = 1

18.

What are the values for x and y?

a)

10

b)

18

c)

4.5

d)

2

e)

7

f)

20

g)

54

h)

16

i)

6

j)

3.5

1

2

1)

2)

19.

What is true about $\Delta CDE\cong\Delta IJK$

a)

$\angle C\cong\angle I$

b)

$\angle C\cong\angle J$

c)

$\angle C\cong\angle K$

20.

$\Delta ABC$ and $\Delta DEF$ are shown. Which statement is true?

a)

$\Delta ABC\sim\Delta FDE$

b)

$\frac{AB}{CB}=\frac{DE}{FE}$

c)

$<B\cong<D$

d)

$\frac{AB}{AC}=\frac{DF}{DE}$

21.

$\Delta PQR\sim\Delta STU$ . Which proportion can be used to solve for n?

a)

$\frac{5}{15}=\frac{n}{12}$

b)

$\frac{15}{5}=\frac{n}{12}$

c)

$\frac{13}{n}=\frac{12}{36}$

d)

$\frac{13}{n}=\frac{36}{12}$

22.

$\Delta DEF$ is similar to $\Delta LMN$ . Which THREE proportions can use be used to find the value of x?

a)

$\frac{24}{x}=\frac{12}{13}$

b)

$\frac{12}{10}=\frac{5}{x}$

c)

$\frac{10}{5}=\frac{x}{13}$

d)

$\frac{12}{24}=\frac{13}{x}$

e)

$\frac{13}{x}=\frac{5}{24}$

23.

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

a)

a reduction

b)

an enlargement

c)

a scale

d)

not proportional

24.

What is the formula for scale factor?

a)

$\frac{image}{old}$

b)

$\frac{old}{image}$

25.

Rectangle ABCD and rectangle DEFG are similar figures. Which of the following proportions is true for the figures?

a)

$\frac{AB}{DE}=\frac{BC}{FG}$

b)

$\frac{AB}{DE}=\frac{CD}{FG}$

c)

$\frac{AB}{CD}=\frac{DE}{GD}$

d)

$\frac{AD}{AB}=\frac{DE}{DF}$

26.

Trapezoid ABCD and trapezoid WXYZ are similar figures. Which of the following proportions is true for the figures?

a)

$\frac{AB}{WX}=\frac{CD}{XY}$

b)

$\frac{AD}{WZ}=\frac{XY}{BC}$

c)

$\frac{AB}{WX}=\frac{CD}{YZ}$

d)

$\frac{AD}{BC}=\frac{YZ}{XY}$

27.

Triangle ABC and triangle WXY are similar figures. Which of the following proportions is true for the figures?

a)

$\frac{AB}{XY}=\frac{BC}{WY}$

b)

$\frac{AC}{WY}=\frac{AB}{XY}$

c)

$\frac{WX}{AC}=\frac{WY}{BC}$

d)

$\frac{AB}{WX}=\frac{BC}{XY}$

28.

Rectangle ABCD and rectangle EFGD are similar figures. Which of the following proportions is true for the figures?

a)

$\frac{16}{12}=\frac{FG}{8}$

b)

$\frac{16}{8}=\frac{FG}{12}$

c)

$\frac{16}{8}=\frac{12}{FG}$

d)

$\frac{16}{12}=\frac{12}{FG}$

29.

Rectangle ABCD and rectangle EFGD are similar figures. Which of the following proportions is true for the figures?

a)

$\frac{AB}{DE}=\frac{BC}{FG}$

b)

$\frac{AB}{EF}=\frac{BC}{FG}$

c)

$\frac{AB}{CD}=\frac{DE}{GD}$

d)

$\frac{AD}{AB}=\frac{DE}{FG}$

30.

Triangle ABC and triangle WXY are similar figures. Which of the following proportions is true for the figures?

a)

$\frac{35}{63}=\frac{WY}{5}$

b)

$\frac{63}{WY}=\frac{35}{8}$

c)

$\frac{WY}{35}=\frac{63}{8}$

d)

$\frac{63}{WY}=\frac{56}{8}$

31.

Trapezoid ABCD and trapezoid WXYZ are similar figures. Which of the following proportions is true for the figures?

a)

$\frac{DC}{XY}=\frac{BC}{WX}$

b)

$\frac{WX}{AB}=\frac{XY}{DC}$

c)

$\frac{YZ}{AD}=\frac{CD}{XY}$

d)

$\frac{DC}{ZY}=\frac{BC}{XY}$

32.

Trapezoid ABCD and trapezoid WXYZ are similar figures. Which of the following proportions is true for the figures?

a)

$\frac{3}{25}=\frac{YZ}{30}$

b)

$\frac{YZ}{5}=\frac{3}{15}$

c)

$\frac{15}{3}=\frac{30}{YZ}$

d)

$\frac{15}{YZ}=\frac{25}{5}$

33.

Triangle ABC and triangle WXY are similar figures. Which of the following proportions is true for the figures?

a)

$\frac{5}{15}=\frac{WY}{13}$

b)

$\frac{WY}{4}=\frac{15}{12}$

c)

$\frac{15}{4}=\frac{13}{WY}$

d)

$\frac{12}{WY}=\frac{4}{5}$

34.

Triangle ABC and triangle WXY are similar figures. Which of the following proportions is true for the figures?

a)

$\frac{AB}{WX}=\frac{BC}{XY}$

b)

$\frac{AB}{BC}=\frac{WY}{WX}$

c)

$\frac{AB}{WY}=\frac{BC}{XY}$

d)

$\frac{AC}{XY}=\frac{BC}{WX}$

Similar Figures Review

Total questions: 34

Worksheet time: 3hrs 15mins

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