Free Printable CP Geometry Semester 2 Review

1.

A right triangle has one leg that measures 8 cm and the hypotenuse measures 10 cm. What is the length of the other leg?

a)

6 cm

b)

4 cm

c)

2 cm

d)

5 cm

2.

Calculate the hypotenuse of a right triangle if one leg measures 9 m and the other leg measures 12 m.

a)

15 m

b)

21 m

c)

18 m

d)

10 m

3.

A ladder is leaning against a wall, reaching a height of 20 feet. If the base of the ladder is 16 feet away from the wall, how long is the ladder?

a)

25 feet

b)

20 feet

c)

36 feet

d)

18 feet

4.

Do three squares with side lengths of 6, 12, and 13 form a right triangle?

a)

Yes

b)

No

5.

Find the missing side.

a)

11

b)

12

c)

13

d)

14

6.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

7.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

8.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

9.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

10.

Find x.

a)

10

b)

10√3

c)

10√2

d)

20

11.

Find x.

a)

22

b)

11√3

c)

11√2

d)

11

12.

Find a.

a)

12

b)

24

c)

24√3

d)

16

13.

Find a.

a)

2√3

b)

2

c)

12

d)

6

14.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

15.

Use the 45-45-90 theorem to solve for the hypotenuse.

a)

16

b)

8

c)

8√2

d)

√16

16.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

17.

Find the length of m.

a)

4

b)

6

c)

12

d)

2√3

18.

Find the value of x.

a)

9

b)

2√3

c)

1

d)

3

19.

Determine the value of: sin(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

20.

Determine the value of: cos(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

21.

Determine the value of: tan(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

22.

Consider angle B in the diagram below.

What is the length of "opposite side" to angle B?

a)

6

b)

8

c)

10

d)

not possible to determine

23.

Consider angle B in the diagram below.

What is the length of "adjacent side" to angle <B?

a)

6

b)

8

c)

10

d)

not possible to determine

24.

Which trigonometric function would you use to find "h", the height of the tree?

a)

sine

b)

cosine

c)

tangent

d)

none of these

25.

How would you find "x" in the diagram?

a)

Multiply 15 by 2.

b)

Divide 15 by 2.

c)

Multiply 15 by √3.

d)

Divide 15 by √3.

26.

Which inverse trig function would you use to find the measure of Angle A?

a)

inverse sine

b)

inverse cosine

c)

inverse tangent

d)

It is not possible to determine m<A

27.

True or False. To find the missing side length in the diagram, use the Pythagorean Theorem.

a)

True

b)

False

28.

Which expression is correct for "y"?

a)

y = tan^–1(31/23)

b)

y = sin^–1(31/23)

c)

y = cos^–1(31/23)

29.

Which is the best strategy to use for finding the length of the missing side?

a)

sine

b)

cosine

c)

tangent

d)

Pythagorean Theorem

30.

How would you find the value of the angle denoted by "?"

a)

Apply the inverse sine

b)

Apply the inverse cosine

c)

Apply the inverse tangent

d)

Apply the Pythagorean Theorem

31.

Focus in on the 70^o angle...which two sides are "identified" in the figure?

a)

opposite

(an unknown)

b)

hypotenuse

(4 units)

c)

adjacent

(no marking)

d)

None of these

32.

So we should have found;

opposite side = ?

hypotenuse = 4

(remember...related to the 70^o angle!!!) Which trig ratio uses these two sides?

a)

sine (sin)

b)

cosine (cos)

c)

tangent (tan)

d)

None of these

33.

Which of the following best represents the length of side "b?"

a)

3.73

b)

177.88

c)

17.16

d)

17.74

34.

If tanθ = 3/4, what is cosθ?

a)

3/5

b)

4/5

c)

4/3

d)

not enough information

35.

a)

A

b)

B

c)

C

d)

D

36.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

37.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

38.

What is the ratio for Cosine?

a)

Opposite Leg / Adjacent Leg

b)

Opposite Leg / Hypotenuse

c)

Adjacent Leg / Hypotenuse

d)

Hypotenuse / Adjacent Leg

39.

What is the ratio for Sine?

a)

Adjacent Leg / Opposite Leg

b)

Opposite Leg / Hypotenuse

c)

Hypotenuse / Opposite Leg

d)

Adjacent Leg / Hypotenuse

40.

What is the ratio for Tangent?

a)

Adjacent Leg / Opposite Leg

b)

Adjacent Leg / Hypotenuse

c)

Opposite Leg / Hypotenuse

d)

Opposite Leg / Adjacent Leg

41.

a)

A

b)

B

c)

C

d)

D

42.

Students are trying to determine the height of the flagpole at Arlington High. They have measured out a horizontal distance of 40 feet from the flagpole and site the top of it at an angle of elevation of 52 degrees. Which below is closest to the height, h, of the flagpole?

a)

31.5 feet

b)

24.6 feet

c)

51.2 feet

d)

57.4 feet

43.

Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches

a)

Yes

b)

No

44.

Can the following side measures form a triangle?
4 cm, 7 cm, 10 cm

a)

Yes

b)

No

45.

9. Which of these lengths CANNOT represent the sides of a triangle?

a)

32, 34, 60

b)

28, 30, 58

c)

13, 20, 27

d)

2, 4, 5

46.

List the side measures in order, shortest to longest.

a)

QM, QP, MP

b)

MQ, MP, QP

c)

MP, MQ, QP

47.

Identify the longest side measure.

a)

AC

b)

BA

c)

BC

48.

Identify the smallest angle.

a)

∠A

b)

∠B

c)

∠C

49.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

50.

Simplify the following radical: √28

a)

7√2

b)

7√4

c)

4√7

d)

2√7

51.

Simplify the following radical: √72

a)

8√3

b)

6√2

c)

3√8

d)

4√8

52.

Simplify the following radical: √96

a)

16√6

b)

2√6

c)

4√6

d)

√2

53.

Simplify the following radical: √80

a)

16√5

b)

2√20

c)

4√5

d)

8√5

54.

Simplify the following radical: √300

a)

3√10

b)

2√150

c)

100√3

d)

10√3

55.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

56.

Simplify 4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

57.

Simplify the following radical: 2√24

a)

4√6

b)

2√6

c)

24√2

d)

4√4

58.

a)

11√5

b)

11√10

c)

5√5

d)

12√10

59.

a)

-5√1

b)

8√2 + 13√3

c)

21√5

d)

20√5

60.

a)

13√3

b)

10√30

c)

13√6

d)

11√3

61.

a)

√18 + 11√2

b)

22√5

c)

11√20

d)

14√2

62.

a)

0

b)

√5

c)

1

d)

-2√15

63.

Add: 4√7 - 10 √7 + 7√7

a)

-6√7

b)

14√7

c)

-3√14

d)

√7

64.

$2\sqrt{27}+8\sqrt{3}+5\sqrt{8}$

a)

$24\sqrt{3}$

b)

$24\sqrt{3}+5\sqrt{8}$

c)

$14\sqrt{3}+10\sqrt{2}$

65.

$\sqrt{12}+5\sqrt{18}+2\sqrt{27}$

a)

$8\sqrt{3}+15\sqrt{2}$

b)

$8\sqrt{2}+15\sqrt{3}$

c)

$25\sqrt{2}$

66.

To find the perimeter of any figure

a)

Add the lengths of all the sides

b)

Multiply the lengths of all the sides

67.

a)

Area of a square

b)

Area of a rectangle

c)

Area of a triangle

d)

Area of a parallelogram

68.

a)

Area of a square

b)

Area of a triangle

c)

Area of a trapezoid

69.

a)

Area of a rectangle

b)

Area of a triangle

c)

Area of a trapezoid

70.

a)

Area of a parallelogram

b)

Area of a triangle

c)

Area of a trapezoid

71.

a)

A = 15 cm²

b)

A = 15 cm

c)

A = 16 cm²

d)

A = 8 cm²

72.

What is the approximate side length of a square that has an area of 40?

a)

20

b)

10

c)

1600

d)

6.3

73.

What is the area of a square with a side of 7?

a)

14 sq units

b)

28 sq units

c)

49 sq units

d)

64 sq units

74.

Write an equation and solve for missing sides of a triangle. Round answers to the nearest hundredth. For the given right triangle, solve for the side labeled x.

(a)

75.

Write an equation and solve for missing sides of a triangle. Round answers to the nearest hundredth. For the given right triangle, solve for the side labeled x.

(a)

76.

Solve for missing angles of a triangle. Round answers to the nearest hundredth. For the given right triangle, solve for the angle labeled x.

(a)

77.

what is the circumference of this circle ?

a)

3.14 cm

b)

37.68 cm

c)

24 cm

d)

68.4 cm

78.

A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area?

a)

31.25 m²

b)

29.55 m²

c)

30.36 m²

d)

28.26 m²

79.

What is the area of this circle?

a)

163.2

b)

15.3

c)

124.2

d)

113.1

80.

What is the area of this circle?

a)

1385.44

b)

2142.12

c)

5541.77

d)

1289.12

81.

Find the arc length of arc AB.

a)

12.57 units

b)

75.40 units

c)

24 units

d)

125.66 units

82.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

83.

Find the arc length.

a)

37.70 cm

b)

6.28 cm

c)

28.27 cm

d)

9.42 cm

84.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

85.

Find the area of the shaded sector.

a)

37.70 cm²

b)

6.28 cm²

c)

28.27 cm²

d)

9.42 cm²

86.

What is the area of the shaded region?

a)

14 m²

b)

120 m²

c)

106 m²

d)

134 m²

87.

Find the area of the figure shown.

a)

34 units²

b)

960 units²

c)

220 units²

d)

480 units²

88.

If my radius is 10ft, what is my diameter?

a)

20ft

b)

5ft

c)

31.4ft

d)

62.8ft

89.

Find the perimeter

a)

14 m

b)

43.96m

c)

176 m

d)

191.96 m

90.

What is the total surface area of the triangular prism shown?

a)

468 in²

b)

540 in²

c)

576 in²

d)

700 in²

91.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

c)

50 cm²

d)

54 cm²

92.

What is the surface area of the cylinder to the nearest square inch?

a)

625 in²

b)

1300 in²

c)

1046 in²

d)

414 in²

93.

Find the Volume

a)

960 cm³

b)

240 cm³

c)

960 cm ²

d)

1920 cm³

94.

Volume = ?

a)

150.72 mm³

b)

904.32 mm³

c)

2,712.96 mm³

d)

782 mm³

95.

Find the volume to the nearest hundredth using 3.14 instead of Pi.(The Diameter is 7 cm)

a)

179.50 cm³

b)

205.15 cm³

c)

51.29 cm³

d)

1436.03 cm³

96.

what is the volume?

a)

72

b)

27

c)

1.5

d)

272

97.

Write the equation of the circle.

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

98.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

99.

In the equation (x-4)²+(x-3)²=25, the radius is

a)

4

b)

3

c)

5

d)

25

100.

The distance around a circle

a)

Diameter

b)

Radius

c)

Circumference

d)

Area

101.

In the equation
(x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

102.

Write the equation of a circle with center
(7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

103.

What is the equation for this circle?

a)

(x+1)+(y+1)=9

b)

x²+y²=9

c)

x+y=9

104.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

105.

See Picture

a)

A

b)

B

c)

C

106.

What is the center of the circle with equation x² + y² = 1?

a)

(1, 1)

b)

(0, 0)

c)

(0,1)

d)

not enough information

107.

a)

(x + 3)² + (y - 1)² = 9

b)

(x - 3)² + (y + 1)² = 9

c)

(x - 3)² + (y + 1)² = 3

d)

(x + 3)² + (y - 1)² = 3

108.

A rectangular prism has a base area of 600 square inches. The volume of the prism is 2,400 cubic inches. What is the height of the prism?

a)

23,400 inches

b)

400 inches

c)

40 inches

d)

4 inches

109.

Alex is building a shelf shaped like a triangle. He wants the height to equal 8 and the area to equal 72. What will b equal?

a)

9 cm

b)

9 cm²

c)

18 cm

d)

18 cm²

110.

An airplane climbs at an angle of 13° with

the ground. What is the horizontal distance it has

traveled (to the nearest hundred feet) when it

has attained an altitude of 400 feet?

a)

410 feet

b)

2000 feet

c)

1800 feet

d)

1700 feet

111.

Find the value of x.

a)

90°

b)

180°

c)

50°

d)

40°

112.

Find the value of y.

a)

90°

b)

180°

c)

50°

d)

40°

113.

Find the value of x.

a)

45

b)

10

c)

20

d)

90

114.

Find the value of x.

a)

88

b)

38

c)

34

d)

44

115.

Find the value of x.

a)

15

b)

18

c)

21

d)

24

116.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

117.

Determine the measure of ∠UVS

a)

19.5°

b)

39°

c)

78°

d)

102°

118.

∠ AED is formed inside a circle by two intersecting chords. If minor arc BD = 70° and minor arc CA = 180° , what is the measure of ∠ AED?

a)

45°

b)

50°

c)

55°

d)

60°

119.

If arc XV = 68° and ∠ YUV = 36° , what is the measure of arc VY?

a)

120°

b)

130°

c)

140°

d)

150°

120.

If major arc AC = 236°, what is the measure of ∠ ABC?

a)

56°

b)

60°

c)

64°

d)

68°

121.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

122.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

123.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

124.

Which is the correct equation to find m<KLM?

a)

x = 1/2(140 - 66)

b)

x = 1/2(140+66)

c)

66 = 1/2(140 - x)

d)

66 = 1/2(140 + x)

125.

What is the measure of angle 1?

a)

130

b)

65

c)

44

d)

86

126.

In the diagram, two secants form a vertex in the exterior of the circle. Solve for the value of "x"

a)

25

b)

100

c)

132.5

d)

92.5

127.

What is the measure of arc NJM?

a)

55°

b)

60°

c)

305

d)

135°

128.

a)

33

b)

18

c)

46

d)

16

129.

a)

240

b)

230

c)

205

d)

255

130.

Find the value of x.

a)

12.5

b)

8

c)

35

d)

16

131.

Find the radius r

a)

2

b)

3

c)

4

d)

5

132.

Find the measure of ∠ABE.

a)

129⁰

b)

51⁰

c)

100⁰

d)

65⁰

133.

Solve for x.

a)

6

b)

8

c)

10

d)

12

CP Geometry Semester 2 Review

Total questions: 133

Worksheet time: 10hrs 21mins

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