Free Printable Unit 5 Review: Similar Triangles

1.

A ratio is

a)

comparing a bunch of numbers

b)

a comparison between 2 quantities

c)

an estimation of an amount

d)

a variable

2.

A proportion is a

a)

ratio statement

b)

an "if-then" statement

c)

a statement of 2 ratios

d)

a comparison

3.

All of the following are proper representations of a ratio EXCEPT

a)

a/b

b)

a to b

c)

a:b

d)

a over b

4.

To solve for missing info in a proportion statement you must first

a)

Cross multiply

b)

Divide everything

c)

Get rid of variables

d)

Guess

5.

In geometry what tends to happen to most problems

a)

they are hard to solve

b)

they turn in to decimals

c)

they become algebra problems

d)

they are easy to solve

6.

Solve for x

$\frac{3}{4}=\frac{x}{8}$

(a)

7.

Solve for a

$\frac{a}{45}=\frac{3}{15}$

(a)

8.

Solve for w

$\frac{\left(w+2\right)}{5}=\frac{7}{5}$

(a)

9.

Solve for y

$\frac{\left(5+y\right)}{\left(y-3\right)}=\frac{14}{10}$

(a)

10.

Solve for m

$\frac{\left(m+8\right)}{-3}=\frac{\left(17-m\right)}{-2}$

(a)

11.

Solve for r

$\frac{\left(r-6\right)}{2}=\frac{\left(r+4\right)}{3}$

(a)

12.

Two out of every 3 students in Mr. Pearson’s ninth grade class recycle aluminum cans. If 48 students recycle aluminum cans, HOW MANY STUDENTS are in Mr. Pearson’s class?

(a)

13.

Cindy’s job is to check computer printers for defects. Out of 420 printers she has to check, only 3 of the first 84 have been defective. Using this information, what is the best prediction of the TOTAL NUMBER OF DEFECTIVE PRINTERS?(Set up your ratio)

(a)

14.

A recipe for 2.5 dozen whole-wheat muffins requires 600 g of flour. How many muffins can be made with 900 g of flour?

(a)

15.

Sandra wants to give a party for 60 people. She has a punch recipe that makes 2 gallons of punch and serves 15 people. How many gallons of punch should she make for her party?

(a)

16.

A model airplane is made to the scale 1 inch to 24 inches. If the wing of the actual plane is 18 feet long, how long will the model wing be in inches?

(a)

17.

Orlando stuffs envelopes for extra money. He makes a quarter for every dozen he stuffs. How many envelopes will he have to stuff to make $10.00

(a)

18.

If a class has 14 redheads, 8 brunettes, and 6 blondes- What is the REDUCED ratio of redheads to brunettes?

a)

4:7

b)

14:8

c)

8:14

d)

7:4

19.

If a class has 14 redheads, 8 brunettes, and 6 blondes- What is the REDUCED ratio of redheads to blondes?

a)

3:7

b)

14:6

c)

6:14

d)

7:3

20.

If a class has 14 redheads, 8 brunettes, and 6 blondes- What is the REDUCED ratio of blondes to brunettes?

a)

3:4

b)

8:6

c)

6:8

d)

4:3

21.

Solve for n

a)

4

b)

3

c)

1/34

d)

34

22.

Solve for n

a)

15/3

b)

14/3

c)

14

d)

12

23.

Solve for x

a)

79/8

b)

8/79

c)

79

d)

8

24.

Solve the proportion

a)

x = 3

b)

x = -3

c)

x = 1

d)

x = -1

25.

Solve for b

a)

b = 8

b)

b = 17/12

c)

b = 4/3

d)

b = 1/8

26.

Solve for k

a)

165

b)

17

c)

1/17

d)

1/165

27.

Factor x²-6x-40

a)

(x-10)(x+4)

b)

(x+10)(x-4)

c)

(x-8)(x+5)

d)

(x+8)(x-5)

28.

Solve by completing the square.
x² + 4x= 12

a)

x = 2 and -2

b)

x = -6 and 2

c)

x = 6 and -2

d)

x = 1 and -1

29.

Select the solution(s) to the proportion.

a)

-6

b)

6

c)

2.49

d)

-14.49

30.

Select the solution(s) to the proportion.

a)

2

b)

-3

c)

-2

d)

3

31.

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

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

32.

Solve for x.

a)

21

b)

14

c)

12

d)

18

33.

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

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

34.

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

35.

A figure must have the same shape and size to be _________.

a)

Congruent

b)

Similar

c)

Side Angle Side

36.

Corresponding angles in similar figures are congruent.

a)

True

b)

False

37.

Matching sides are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Sides

38.

What is true about the shape and size of similar figures?

a)

Same shape and same size

b)

Same shape and not the same size

c)

Different shape and same size

d)

Different shape and not the same size

39.

Sides in similar figures must be proportional.

a)

True

b)

False

40.

Solve for x

a)

x = 6

b)

x = 25

c)

x = 28

d)

x = 17

41.

Which proportion would allow you to solve for the missing side, x?

a)

A

b)

B

c)

C

d)

D

42.

A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?

You do not need to label your answer for this game.

(a)

43.

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

44.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

45.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SAS

b)

AA

c)

SSS

d)

not similar

46.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

no similar

47.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

48.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

49.

a)

1:3

b)

3

c)

2:3

d)

3:2

50.

a)

7

b)

12

c)

6

d)

4

51.

a)

45°:117°:18°

b)

45°:18°:117°

c)

35°:115°:20°

d)

35°:120°:22°

52.

Use the information in the diagram to determine the height of the tree.

a)

80 feet

b)

320 feet

c)

40 feet

d)

160 feet

53.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

54.

Are the triangles similar?

a)

Yes

b)

No

55.

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

56.

Find missing side

a)

5

b)

7

c)

9

d)

11

57.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

58.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

59.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

60.

Complete each proportion.
CB / DM = AC / ?

a)

BM

b)

MA

c)

BC

d)

AD

61.

Choose the similarity statement for the triangles.

a)

ΔMNL ∼ ΔOPQ

b)

ΔNOM ∼ ΔPQL

c)

ΔLMN ∼ ΔPQO

d)

ΔMLN ∼ ΔPQO

62.

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

63.

How long is side x?

a)

3

b)

1.5

c)

8

d)

2/3

64.

Find the missing length indicated.

Write down your work.

a)

30

b)

25

c)

45

d)

50

65.

Solve for x.

Write down your work.

a)

18

b)

12

c)

6.75

d)

85.3

66.

Find the missing length indicated.

Write down your work.

a)

6

b)

10

c)

5

d)

12

67.

Which proportion could be used to prove that $HJ\parallel KL$ ?

a)

$\frac{KL}{HJ}=\frac{KG}{LG}$

b)

$\frac{KH}{KG}=\frac{LG}{LJ}$

c)

$\frac{HK}{JL}=\frac{LG}{GK}$

d)

$\frac{GK}{HK}=\frac{GL}{LJ}$

68.

Are the triangles similar?

Write down your work.

a)

Yes

b)

No

69.

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

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

70.

Select the proportion that shows the Triangle Proportionality Theorem.

a)

$\frac{6}{27}=\frac{7}{x}$

b)

$\frac{6}{21}=\frac{7}{x}$

c)

$\frac{7}{6}=\frac{x}{27}$

71.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

72.

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

a)

equal

b)

congruent

c)

proportional

d)

none of these

73.

Solve the proportion.

a)

p=31.3

b)

p=308

c)

p=924

d)

p=532

74.

Are the triangles similar? If so, what similarity shortcut is used?

a)

Similar. SAS

b)

Similar. AA

c)

Similar. SSS

d)

Not Similar

75.

Find x.

a)

11

b)

55

c)

275

76.

Find x.

a)

18

b)

21

c)

11.8

77.

Find x.

a)

45

b)

9

c)

5

d)

15

78.

Solve for x.

a)

9

b)

8

c)

5

d)

7

79.

Find side length X.

HINT: GH and JL are NOT parallel!!!

a)

22.5

b)

10

c)

9

d)

7.5

80.

The triangles are similar, solve for the question mark.

HINT: AB and CD are NOT parallel!!!

a)

8

b)

12.5

c)

18

d)

24

81.

Find the missing side length given that the triangles are similar.

HINT: ST and CB are NOT parallel!!!

*Type in only the numeric answer

(a)

82.

The triangle pairs are similar. Solve for x.

HINT: TU and LK are NOT parallel!!!

*Type in only the numeric answer

(a)

83.

Find side length X.

a)

30

b)

25

c)

15

d)

40

84.

Solve for x:

a)

11

b)

16.5

c)

22

d)

18.25

85.

Solve for x:

a)

33

b)

22

c)

28

d)

16.5

86.

Solve for x:

a)

10

b)

5

c)

20

d)

11

87.

Solve for x:

a)

8

b)

7.2

c)

8.4

d)

6.4

88.

Find FG

a)

8.4

b)

5.5

c)

5.9

d)

5.3

89.

Solve for x:

a)

20

b)

12.75

c)

22.5

d)

25.5

90.

Solve for x:

a)

18.6

b)

16.8

c)

22.2

d)

14.2

91.

Solve for x:

a)

13.5

b)

15.5

c)

22

d)

2.8

92.

Solve for x:

a)

18

b)

38

c)

28

d)

22

93.

Solve for x:

a)

12.83

b)

17.12

c)

-5

d)

1.55

94.

Solve for r:

a)

40

b)

60

c)

66

d)

10

95.

Find the height of the actual tent:

a)

12 ft.

b)

14.75 ft.

c)

14 ft.

d)

10 ft.

Unit 5 Review: Similar Triangles

Total questions: 95

Worksheet time: 6hrs 15mins

Similar Resources on Wayground