Free Printable Geometry Spring Semester Review

1.

The Pythagorean Theorem ONLY works on which triangle?

a)

Obtuse

b)

Right

c)

Acute

d)

Isosceles

2.

What is the side of a right triangle across from the right angle called?

a)

Square

b)

Arm

c)

Leg

d)

Hypotenuse

3.

Find the length of the missing side

a)

17

b)

15

c)

22

d)

13

4.

Find the length of the missing side

a)

20

b)

68

c)

16

d)

80

5.

Is this a right triangle

a)

Yes

b)

No

6.

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school?

a)

14 blocks

b)

12 blocks

c)

10 blocks

d)

8.5 blocks

7.

^{Find the length of the missing side}

a)

48

b)

108

c)

83.6

d)

72

8.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

9.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

10.

If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?

a)

sine

b)

cosine

c)

tangent

d)

You can only use trig functions on right triangles.

11.

a)

24/32

b)

32/24

c)

32/40

d)

24/40

12.

a)

14/48

b)

48/50

c)

14/50

d)

48/14

13.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

14.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

15.

Which trigonometric ratio is correct?

a)

sinA= opp/adj

b)

cosA= opp/hyp

c)

tanA= opp/adj

d)

sinA= adj/opp

16.

Find Cos(A) as a decimal rounded the the nearest ten-thousandth.

a)

.4706

b)

1.875

c)

.8824

d)

.5333

17.

Which is the correct ratio for the cosine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

18.

Which is the correct ratio for the sine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

19.

Which is the correct ratio for the tangent ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

20.

What side is opposite $\angle$ J?

a)

9

b)

40

c)

41

d)

none

21.

What side is adjacent to $\angle$ J?

a)

9

b)

40

c)

41

d)

none

22.

tan_____ = $\frac{30}{16}$

a)

X

b)

Y

c)

Z

23.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

24.

What is the measure of side b?

a)

5

b)

10√2

c)

5√2

d)

$\frac{10}{\sqrt{2}}$

25.

What type of special right triangle is this?

a)

45-45-90

b)

30-60-90

c)

not a special right triangle

26.

In this 45-45-90 triangle, I have been given the length of a leg. How do I find the length of the hypotenuse?

a)

It is the same length as the given leg.

b)

Multiply that leg's length by √2.

c)

Multiply that leg's length by 2.

d)

Divide that leg's length by √2.

27.

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

a)

Multiply that leg by 2

b)

Use the same length for the second leg

c)

Multiply that leg by √2

d)

Divide that leg by √2

28.

I have been given the short leg in this 30-60-90 triangle. How do I find the length of the hypotenuse?

a)

Multiply 4 by 2

b)

Multiply 4 by √3

c)

Multiply 4 by √2

d)

Divide 4 by √3

29.

How long is side c?

a)

1

b)

2

c)

$\sqrt{2}$

d)

$\sqrt{3}$

30.

What is the measure of side c?

a)

6

b)

6√2

c)

6√3

d)

12

31.

Find x.

a)

10

b)

20

c)

10√3

d)

√3

32.

What is the area?

a)

108 cm sq

b)

60 cm

c)

432 cm sq

d)

216 cm sq

33.

What is the area of this composite shape?

a)

14 in²

b)

68 in²

c)

36 in²

d)

24 in²

34.

Solve.

a)

102 m²

b)

39 m²

c)

51.2 m

d)

81 m²

35.

What is the area of the composite figure?

a)

80 cm²

b)

16 cm²

c)

96 cm²

d)

32 cm²

36.

Mr. Hubbs bought a new home and wanted to place new grass on his lawn around his house. What is the area of the shaded area shown, his lawn?

a)

13,600 ft²

b)

18,400 ft²

c)

16,000 ft²

d)

2,400 ft²

37.

What is the area of the shaded region?

a)

14 m²

b)

120 m²

c)

106 m²

d)

134 m²

38.

a)

55 yd³

b)

121 yd³

c)

22 yd³

d)

330 yd³

39.

Find the volume of the figure. Round to the nearest tenth.

a)

80 cm³

b)

40 cm²

c)

80 cm²

d)

40 cm³

40.

Calculate the volume:

a)

1120 ft ³

b)

600 ft ³

c)

560 ft ³

d)

64 ft ³

41.

A fish-tank has a length of 45 centimeters, a width of 25 centimeter and a depth of 10 centimeter. Find the volume of the fish-tank.

a)

10250 cm3

b)

11250 cm3

c)

11250 ft3

d)

10250 ft3

42.

Find the volume of this triangular prism.

a)

1440 cm³

b)

60 cm³

c)

720 cm³

d)

180 cm³

43.

Find the volume of the figure.

a)

210 in3

b)

260 in3

c)

2160 in3

d)

2610 in3

44.

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

45.

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

a)

4

b)

2

c)

3

d)

16

46.

A line segment between two points on the circle which passes through the center

a)

Radius

b)

Diameter

c)

Chord

d)

Tangent

47.

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)

48.

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

49.

What is the center of the circle with this equation is (x+2)²+(y-4)²=41?

a)

(2,-5)

b)

(-2,4)

c)

(2,-4)

d)

(-2, -4)

50.

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

a)

Center (4,3)
Radius = 5 units

b)

Center (4,3)
Radius = 25 units

c)

Center (-4,-3)
Radius = 25 units

d)

Center (-4,-3)
Radius = 5 units

51.

What is the center and radius for a circle with the equation:
(x-4)²+(y+2)²=25

a)

C:(4, -2), r=5

b)

C:(-4, 2), r=5

c)

C:(4, -2), r=25

d)

C:(-4, 2), r=25

52.

Which graph corresponds to
(x)²+ (y-6)²=9

a)

A

b)

B

c)

C

d)

D

53.

The accompanying diagram shows two intersect paths within a circular garden.

What is the length of the portion of the path marked x?

a)

10

b)

12

c)

14

d)

16

54.

a)

70 degrees

b)

182 degrees

c)

108 degrees

55.

a)

28.67

b)

29.67

c)

30.67

d)

31.67

56.

a)

10

b)

11

c)

12

d)

13

57.

a)

4

b)

7

c)

10

d)

42

58.

Find the value of x.

a)

12.5

b)

8

c)

35

d)

16

59.

Find the degree measure of Arc WV.

a)

167

b)

23

c)

20

d)

172

60.

What best describes segment AB?

a)

chord

b)

secant

c)

tangent

d)

diameter

61.

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

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

62.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

63.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

64.

Find the length of arc WY.

a)

$\frac{25}{6}\pi$ m

b)

$\frac{25}{3}\pi$ m

c)

$\frac{65}{6}\pi$ m

d)

$\frac{65}{3}\pi$ m

65.

Find the length of the bolded arc.

a)

$12\pi$

b)

$\frac{63\ \pi}{4}$

c)

$\frac{243\pi}{2}$

d)

$81\pi$

66.

Find the length of the bolded arc.

a)

$\frac{57\pi}{4}$

b)

$\frac{20\pi}{3}$

c)

$\frac{950\pi}{3}$

d)

$3\pi$

67.

Find the length of the bolded arc.

a)

$3\pi$

b)

$\frac{289\pi}{24}$

c)

$\frac{200\pi}{3}$

d)

$144\pi$

Geometry Spring Semester Review

Total questions: 67

Worksheet time: 6hrs 35mins

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