Free Printable Test: Ratios, Proportions, and Similar Polygons

1.

What is the ratio of red apples to green apples

a)

7 apples to 3 green

b)

4 red apples to 7 apples

c)

4 red apples to 3 green apples

d)

3 green apples to 4 red apples

2.

a)

3

b)

5.3

c)

1.08

d)

27

3.

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

a)

congruent, proportional

b)

proportional, congruent

c)

congruent, congruent

d)

proportional, proportional

4.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

5.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

6.

Solve the proportion.

a)

q=2

b)

q=9

c)

q=4.5

d)

q=6

7.

Solve for x

a)

1/2

b)

25/8

c)

11

d)

53/4

8.

The ratio 5:15 simplifies to...

a)

1:3

b)

3:1

c)

1:5

d)

3:5

9.

Which is NOT equivalent to 3:5?

a)

15:25

b)

9:15

c)

21:28

d)

30:50

10.

The cookie jar has six chocolate chip cookies and five oatmeal cookies. What is the ratio of oatmeal to chocolate chip cookies?

a)

6:5

b)

5:6

c)

6:11

d)

6:11

11.

What is the ratio of circles to squares?

a)

3:1

b)

2:1

c)

1:2

d)

5:3

12.

What is the ratio of stars to red circles in this image?

a)

4 to 11

b)

4 to 7

c)

7 to 4

d)

11 to 4

13.

In the fruit bowl there are 4 apples, 2 bananas, and 5 pears. What is the ratio of pears to ALL fruit?

a)

5:4

b)

5:11

c)

2:5

d)

6:5

14.

If there are 5 boys and 7 girls, write the ratio of girls to boys.

a)

5 to 7

b)

7 to 5

c)

5 to 12

d)

7 to 12

15.

Solve for x

a)

x = 16

b)

x = 28

c)

x = 1/26

d)

x = 26

16.

Solve the equation for x:

a)

17

b)

16

c)

15

d)

14

17.

Solve the proportion:

a)

4

b)

21

c)

24

d)

3

18.

Solve for k

a)

165

b)

17

c)

1/17

d)

1/165

19.

Solve for b

a)

8

b)

17/12

c)

4/3

d)

1/8

20.

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

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

21.

State if the polygons are similar.

a)

Not Similar

b)

Similar

22.

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

a)

4:5

b)

1:3

c)

2:5

d)

6:7

23.

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

a)

1:4

b)

1:2

c)

4:5

d)

3:8

24.

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

a)

6

b)

10

c)

13

d)

8

25.

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

a)

9

b)

5

c)

3

d)

7

26.

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

a)

9

b)

14

c)

8

d)

11

27.

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

a)

6

b)

14

c)

11

d)

12

28.

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

a)

30

b)

27

c)

19

d)

15

29.

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

a)

6

b)

10

c)

9

d)

4

30.

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

a)

10

b)

6

c)

7

d)

9

31.

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

a)

11

b)

15

c)

10

d)

9

32.

$\Delta PRQ\ \sim\ \Delta DEF$
What is $m\angle D$ ?

a)

35

b)

89

c)

56

d)

40

33.

$\Delta PRQ\ \sim\ \Delta DEF$
What is $DE$ ?

a)

48

b)

33.33

c)

60

d)

40

34.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

35.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

36.

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

a)

a

b)

b

c)

c

d)

d

37.

Which triangle is similar to the above triangle ?

a)

A

b)

B

c)

C

d)

D

38.

Review the picture. Find the missing side measurement in the picture using a proportion.

a)

w = 18 m

b)

w = 6 m

c)

6 m

d)

w = 0.16 m

39.

All angles in similar figures are congruent.

a)

True

b)

False

40.

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

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

41.

Two features that are situated in the same way on separate similar figures are called?

a)

Scales

b)

Corresponding parts

c)

Lines

d)

Triangles

42.

What is the scale factor from the triangle to the left to the triangle on the right?

a)

2

b)

3/2

c)

2/3

d)

1/2

43.

Sides in similar figures must be proportional.

a)

True

b)

False

44.

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

45.

$\Delta LMN\sim\Delta QRS$
Which statement is NOT true?

a)

$\angle L\cong\angle Q$

b)

$\angle M\cong\angle R$

c)

$\angle N\cong\angle Q$

d)

$\angle S\cong\angle N$

46.

$\Delta LMN\sim\Delta QRS$
Which statement is NOT true?

a)

$\frac{LM}{QR}=\frac{MN}{RS}$

b)

$\frac{NL}{SQ}=\frac{ML}{QS}$

c)

$\frac{MN}{RS}=\frac{LN}{QS}$

d)

All statements are true.

47.

Complete this sentence: "Similar polygons have the same _________ but not necessarily the same size."

a)

shape

b)

length

c)

measure

d)

area

48.

Determine the missing side length.

a)

6

b)

8

c)

12

d)

4

49.

True/False: "The scale factor from Figure A to Figure B is 2."

a)

True

b)

False

50.

Congruent means...

a)

Equal measures

b)

Similar

c)

Dilation

d)

Same Shape Different Size

51.

Similar means....

a)

Same Shape and Size

b)

Equal

c)

Congruent

d)

Same Shape, different size (dilated with a scale factor)

52.

a)

$\Delta XGK\sim\Delta DRV$

b)

$\Delta XGK\sim\Delta DVR$

c)

$\Delta XGK\sim\Delta RDV$

d)

$\Delta XGK\sim\Delta VDR$

Test: Ratios, Proportions, and Similar Polygons

Total questions: 52

Worksheet time: 2hrs 44mins

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