Free Printable M8 Unit 9 Review (Pythagorean Theorem)

1.

What kind of triangles does the Pythagorean Theorem work with?

a)

Right

b)

Left

c)

Isosceles

d)

Equilateral

2.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

3.

Identify the hypotenuse.

a)

x

b)

z

c)

w

4.

What is the formula used to solve the value of the hypotenuse?

a)

a²+b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c-a=c

5.

Which equation will help you find the length of c?

a)

$27^2-14^2=c^2$

b)

$14^2-27^2=c^2$

c)

$14^2+27^2=c^2$

d)

$14^2+c^2=27^2$

6.

Which equation will help you find the missing side?

a)

$4^2+10^2=c^2$

b)

$10^2-4^2=c^2$

c)

$c^2=100+10^2$

d)

$c^2+4^2=10^2$

7.

Solve the value of c. Round to the nearest tenth.

a)

7

b)

9

c)

4

d)

13

8.

What is the length of x? Round to the nearest tenth.

a)

5

b)

7

c)

8

d)

25

9.

Calculate the missing length. Round to the nearest tenth.

a)

529 in

b)

23 in

c)

17 in

d)

4.8 in

10.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

11.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

12.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

13.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

14.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

15.

side a on a right triangle is ALWAYS the longest side

a)

true

b)

false

16.

Sides a and b are called legs.

a)

true

b)

false

17.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

18.

Find the distance between (3, 24) and (7, 56).

a)

32.1

b)

32.2

c)

32.3

d)

32.4

19.

Find the distance between (-5, -8) and (-1, -16).

a)

8.9

b)

9.8

c)

10.3

d)

11

20.

Find the distance between (-4, 5) and (7, 18).

a)

15.96

b)

16.08

c)

16.23

d)

17.03

21.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

22.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

23.

Find the distance.

a)

7.1

b)

7.8

c)

8.7

d)

8.9

24.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

25.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

26.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

27.

a)

9.2 in

b)

11 in

c)

13 in

d)

9.6 in

28.

a² + b² = c^{2
a = 9 b = 40}

a)

c = 41

b)

c = 65

c)

c = 25

d)

c = 5

29.

a² + b² = c^{2
b = 35 c = 37}

a)

a = 12

b)

a = 11

c)

a = 18

d)

a = 14

30.

side a on a right triangle is ALWAYS the longest side

a)

true

b)

false

31.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

32.

a)

7 ft

b)

5 ft

c)

3 ft

d)

2 ft

33.

What is the length of the missing side? *NOTE: side lengths of 10 and 12.

a)

15.6

b)

6.6

c)

44

d)

16

34.

What is the height of the cone?

a)

14 cm

b)

8 cm

c)

12 cm

d)

13.9 cm

35.

if a = 3 feet, b = 8 feet, and c = 6 feet, what is the length of d rounded to the nearest hundredth of a foot?

a)

8.54 feet

b)

10.44 feet

c)

10 feet

d)

4.12 feet

36.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

37.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

38.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

39.

a)

9.2 in

b)

11 in

c)

13 in

d)

9.6 in

40.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

41.

you ADD a² and c² then take the square root to find b on a right triangle.

a)

true

b)

false

42.

you ADD a² and b² then take the square root to find c on a right triangle.

a)

true

b)

false

43.

Side a on a right triangle is ALWAYS the longest side.

a)

true

b)

false

44.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

45.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

46.

a)

The top of the ladder is 8.9 ft from the ground

b)

The top of the ladder is 9.2 ft from the ground

c)

The top of the ladder is 16.5 ft from the ground

d)

The top o the ladder is 14.4 ft from the ground

47.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

48.

Which set of side lengths does not form a right triangle?

a)

38, 80, 90

b)

16, 63, 65

c)

36, 77, 85

d)

14, 15, 29

49.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

50.

_{^{Find the missing side}}

a)

√29.2

b)

√400

c)

√20

d)

√10

51.

The Pythagorean Theorem is
c² = a² - b²

a)

false

b)

true

52.

Sides a and b are called legs.

a)

true

b)

false

53.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

54.

Find the length of the missing side.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

55.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

56.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

57.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

58.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

59.

a= 12, b= 35, c= ? Find c

a)

32

b)

37

c)

19

d)

20

60.

What is the name for side c?

a)

head

b)

body

c)

hippopotamus

d)

hypotenuse

61.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

62.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

63.

What is the formula used to solve for the hypotenuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

64.

solve for x

a)

5552363959656.

b)

10

c)

100

d)

89

65.

solve for the value of y

a)

13

b)

5

c)

23

d)

10

66.

solve for c

a)

7

b)

9

c)

4

d)

13

67.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

68.

Use the Pythagorean Theorem to find x, the length of the diagonal.

a)

50

b)

75

c)

64

d)

45

69.

a)

The diagonal is 26 ft

b)

The diagonal is 31 ft

c)

The diagonal is 21.8 ft

d)

The diagonal is 20.9 ft

70.

Solve for the walkway length

a)

30

b)

40

c)

58

d)

35

71.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

72.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

73.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

74.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

75.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

76.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

77.

what is the formula for finding the hypotnuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

78.

^{Find the missing side}

a)

11

b)

61

c)

$\sqrt{61}$

d)

$\sqrt{11}$

79.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

80.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

81.

Level 1

The Pythagorean Theorem works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

e)

all triangles

82.

Level 1

If a right triangle has side lengths 6, 7 and 3, which side is the hypotenuse?

a)

6

b)

7

c)

3

d)

49

e)

9

83.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

84.

Level 3

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

85.

Level 4

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

86.

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

a)

Divide both sides by 2

b)

Take the square root of both sides

87.

The Pythagorean Theorem is

a² - b² = c²

a)

false

b)

true

88.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

89.

Would a triangle with these side lengths be a right triangle?
4, 5, 6

a)

Yes

b)

No

90.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

91.

Sides a and b are called legs.

a)

true

b)

false

92.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

93.

Find the distance between these two points.

a)

13

b)

7.9

c)

9.2

d)

3.6

94.

Find the distance between the 2 points. Round to the nearest hundredth.

a)

3

b)

2.23

c)

2.24

d)

2.2

95.

Find the distance between the points.

a)

3

b)

4

c)

5

d)

6

96.

Determine the length of the line between C(-5,6) and D(-2, 1)

a)

$\sqrt{74}$

b)

8.6

c)

$\sqrt{33}$

d)

5.8

97.

a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?

a)

yes

b)

no

98.

Do these 3 side lengths form a right triangle?
13, 80, and 81?

a)

yes

b)

no

99.

If a = 9 and b = 7, what is c?

a)

130

b)

12.4

c)

11.4

d)

11

100.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

M8 Unit 9 Review (Pythagorean Theorem)

Total questions: 100

Worksheet time: 10hrs 32mins

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