Free Printable Similar Polygons

1.

Are the triangles similar?

a)

Yes

b)

No

2.

Are the triangles similar?

a)

Yes

b)

No

3.

Are the triangles similar?

a)

Yes

b)

No

4.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

5.

Similarity Ratio: _

a)

2/3

b)

1/2

c)

2

d)

3

6.

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

7.

Are these triangles similar?
Angles in Triangle 1: 40⁰,60⁰, and 80⁰
Angles in Triangle 2: 40⁰,50⁰, and 90⁰

a)

Yes

b)

No

c)

There is not enough information to decide.

8.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

9.

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

figure.

a)

a

b)

b

10.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

11.

What side corresponds with AB?

a)

BC

b)

FE

c)

DE

d)

FD

12.

Find the missing side of the large triangle, then, find the PERIMETER of the large triangle.

a)

the missing side is 12, the perimeter is 24

b)

the missing side is 12, the perimeter is 36

13.

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

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

14.

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

a)

x = 1

b)

x = 3

c)

x = 9

d)

x = 5

15.

Find missing side

a)

5

b)

7

c)

9

d)

11

16.

Find missing side

a)

5

b)

7

c)

9

d)

11

17.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

18.

Solve for x.

a)

21

b)

14

c)

12

d)

18

19.

When figures are similar, their corresponding angles are__________________.

a)

congruent

b)

proportional

c)

yellow

d)

obtuse

20.

When figures are similar, their corresponding sides are__________________.

a)

congruent

b)

proportional

c)

invisible

21.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

22.

Line CB corresponds to...

a)

EF

b)

HE

c)

GF

d)

HG

23.

Are the triangles similar?

a)

Yes

b)

No

24.

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

a)

a

b)

b

c)

c

d)

d

25.

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

a)

a

b)

b

c)

c

d)

d

26.

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

a)

a

b)

b

c)

c

d)

d

27.

Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?

a)

3 in

b)

2 in.

c)

4 in

d)

1 in

28.

The two right triangles below are similar. What is x, the missing side length in triangle DEF?

a)

3.75

b)

9.75

c)

10

d)

12

29.

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

30.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

31.

You earn $15 every 3 weeks. At this rate, how much will you earn in 5 weeks?

a)

$25

b)

$35

c)

$5

d)

$10

32.

Solve the proportion.

a)

18

b)

3

c)

2

d)

9

33.

Solve the proportion.

a)

20

b)

7

c)

22

d)

11

34.

Solve the proportion.

a)

-5

b)

2

c)

7

d)

6

35.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

36.

a comparison of two quantities

a)

proportion

b)

ratio

c)

similarity ratio

37.

in a proportion if a/b= c/d, then a * d = b *c

a)

geometric mean

b)

similarity ratio

c)

cross products

38.

triangle that have the same shape but that may or may not be the same size.

a)

similarity ratio

b)

geometric means

c)

similar triangles

39.

Are these two triangles similar? Why or why not?

a)

Yes, they are both triangles

b)

Yes, they both have right angles

c)

No, they only have one congruent angle

d)

No, they look different

40.

The triangles are similar and the perimeter of SRT = 15. What is the perimeter of WZX??

a)

12

b)

12.5

c)

13

d)

15

41.

The triangles are similar and the perimeter of SRT = 15. What is the scale factor between the two?

a)

⅘

b)

⅚

c)

½

d)

¾

42.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

43.

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.

44.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

45.

What is the scale factor from ΔDEF to ΔABC?

a)

0.5

b)

0.3333333333333333333333

c)

2

d)

3.3333333333333333333333

46.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

47.

The measures of the angles in a triangle are in the extended ratio of 4:3:2. What is the measure of the largest angle?

a)

20 degrees

b)

60 degrees

c)

90 degrees

d)

80 degrees

48.

The ratio of the measures of the angles in a triangle is 8:3:4. Find the measures of the smallest angle.

a)

12

b)

48

c)

36

d)

96

49.

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?

a)

10

b)

12

c)

15

d)

18

50.

Find the missing length.

a)

21

b)

18

c)

16

d)

24

51.

Solve for x.

a)

10

b)

5

c)

7

d)

4

52.

What is the value of the missing segment?

a)

15

b)

20

c)

6

d)

16

53.

The two right triangles are similar. What is x?

a)

3.75

b)

9.75

c)

10

d)

12

54.

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

a)

x = 1

b)

x = 3

c)

x = 9

d)

x = 5

55.

ABCD is similar to EFGH. The scale factor is 3:2. If the perimeter of ABCD is 60 what is the perimeter of EFGH?

a)

90

b)

40

c)

180

d)

120

56.

Solve for x.

a)

12

b)

18

c)

9

d)

36

57.

Find the scale factor.

a)

4:1

b)

1:3

c)

2:1

d)

7:3

58.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

59.

What does congruent mean?

a)

Same shape, different size

b)

Not same shape, or size

c)

Same size, same shape

60.

What are matching sides of similar figures?

a)

Corresponding Sides

b)

Corresponding Angles

c)

Scale Factor

61.

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

62.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

63.

Complete each proportion.
AB / BM = ? / CD

a)

BC

b)

AC

c)

MD

d)

MC

64.

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

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

65.

Sides in similar figures must be proportional.

a)

True

b)

False

66.

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

a)

x = 1

b)

x = 3

c)

x = 9

d)

x = 5

67.

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

a)

x = 12

b)

x = 3

c)

x = 40

d)

x = 4

68.

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

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

69.

Find missing side

a)

5 m

b)

7 m

c)

9 m

d)

11 m

70.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

71.

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

a)

24 feet

b)

21 feet

c)

27 feet

d)

32 feet

72.

Find the perimeter of the large triangle. (First find the missing side length)

a)

24

b)

36

c)

12

d)

54

73.

The polygons are similar. Find x.

a)

x = 2

b)

x = 6

c)

x = 4

d)

x = 8

74.

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

a)

x = 11

b)

x = 4.5

c)

x = 5

d)

x =4

75.

The polygons are similar. Find x.

a)

x = 2

b)

x = 6

c)

x = 4

d)

x = 8

76.

The two right triangles below are similar. What is x, the missing side length in triangle DEF?

a)

3.75

b)

9.75

c)

10

d)

12

77.

Find the height of the person using what you know about similar triangles.

a)

4 ft

b)

6.25 ft

c)

1.25 ft

d)

5.75 ft

78.

Solve for x.

a)

2

b)

4.5

c)

7

d)

4

79.

Solve for x.

a)

3

b)

5

c)

6

d)

9

80.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

81.

Complete each proportion.
AB / BM = ? / CD

a)

BC

b)

AC

c)

MD

d)

MC

82.

What is the value of X?

a)

X=4

b)

X=6

c)

X=3

d)

X=2

83.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

84.

The triangles are similar. Solve for x.

a)

5

b)

8

c)

13

d)

11

85.

The triangles are similar. Solve for x.

a)

9

b)

14

c)

4

d)

5

86.

The triangles are similar. Solve for x.

a)

9

b)

6

c)

4

d)

11

87.

State if the polygons are similar.

a)

a

b)

b

88.

State if the polygons are similar.

a)

a

b)

b

89.

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

figure.

a)

a

b)

b

c)

c

d)

d

90.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

91.

Find the height of the tree.

a)

8 ft

b)

12 ft

c)

13 ft

d)

15 ft

92.

Are the triangles similar?

a)

Yes

b)

No

93.

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

94.

Find missing side

a)

5

b)

7

c)

9

d)

11

95.

Which of the following is NOT true about similar figures?

a)

A) Similar figures always have the same shape.

b)

B) Similar figures always have the same size.

c)

C) Similar figures always have corresponding angles that are equal.

d)

D) Similar figures always have corresponding sides that are proportional.

96.

Triangle SQR is similar to triangle SPT. Which segment corresponds to segment QR?

a)

A) SP

b)

B) ST

c)

C) PR

d)

D) PT

97.

Solve for x.

a)

3

b)

6

c)

8

d)

9

98.

What is the length of the missing side?

a)

100

b)

95

c)

115

d)

105

99.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

100.

One property of similar triangles is that corresponding angles of two similar triangles are congruent. What is the second property of similar triangles?

a)

Corresponding sides are congruent

b)

Corresponding sides are unrelated

c)

Corresponding sides are equal

d)

Corresponding sides are equally proportional

101.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

102.

What side corresponds with AB?

a)

EF

b)

ED

c)

DE

d)

AB

103.

What side corresponds with DE?

a)

CA

b)

AB

c)

EC

d)

BA

Similar Polygons

Total questions: 103

Worksheet time: 9hrs 35mins

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