Free Printable Geometry Spring Final Review

1.

Which One is not a property of a Parallelogram?

a)

Opposite Sides Congruent

b)

Opposite Angles Congruent

c)

Diagonals Bisect Each other

d)

Diagonals Congruent

2.

Which is a property of a rhombus?

a)

Diagonals Congruent

b)

Diagonals Perpendicular

c)

Four Right Angles

3.

What shape is this?

a)

Square

b)

Rectangle

c)

Rhombus

d)

Parallelogram

4.

What is true about a Rectangle?

a)

Diagonals Congruent

b)

Diagonals Perpendicular

c)

Four Congruent Sides

d)

Diagonals Angle bisectors

5.

What shape is this?

a)

Kite

b)

Parallelogram

c)

Rectangle

d)

Trapezoid

6.

Find x.

a)

18

b)

6

c)

2.57

d)

11.5

7.

Find x.

a)

x = 42

b)

x = 17

c)

x = 7

d)

x = 5

8.

Find X

a)

18.9

b)

19.5

c)

21.3

d)

57

9.

If the bases of a trapezoid is 12 and 8. What is the length of the midsegment?

a)

9

b)

10

c)

11

d)

11.3

10.

Are the triangles similar?

a)

Yes

b)

No

11.

Are the triangles similar?

a)

Yes

b)

No

12.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

13.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

14.

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.

15.

Determine if the triangles are similar. Justify.

a)

Yes, SAS.

b)

Yes, AA.

c)

Yes, SSS.

d)

No, not similar.

16.

A photo is 12 in. wide by 18 in. tall. If the width is scaled down to 9 inches, how tall should the similar photo be?

a)

15 in

b)

0.67

c)

13.5 in

d)

2

17.

Give the reason for similarity

a)

AA

b)

SAS

c)

SSS

d)

Not similar

18.

If the triangles are similar, state how.

a)

SSS

b)

SAS

c)

AA

d)

Not similar

19.

Determine whether the triangles are similar or not. If so, state how they are similar.

a)

Yes, by AA Similarity

b)

Yes, by SAS Similarity

c)

Yes, by SSS Similarity

d)

No, not similar

20.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

21.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

22.

State if the three sides lengths form an acute, obtuse, or right triangle:
6 mi, 14 mi, 17 mi

a)

acute

b)

obtuse

c)

right

23.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

24.

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

a)

4√2

b)

4

c)

8

d)

4√3

25.

In this isosceles triangle, what is the length of x?

a)

8√2

b)

$\frac{8}{\sqrt{2}}$

c)

16

d)

8

26.

Which is the length of v in this 30-60-90 triangle?

a)

$4\sqrt{3}$

b)

4

c)

8

d)

$4\sqrt{2}$

27.

What is a in this 30-60-90 triangle?

a)

a = 7√3

b)

a = 7√2

c)

a = 14

d)

a = 14√3

28.

a)

A

b)

B

c)

C

d)

D

29.

a)

A

b)

B

c)

C

d)

D

30.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

31.

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)

hypotenuse

32.

What information do you need to use the tangent ratio?

a)

an angle and a side opposite and adjecent

b)

two sides

c)

one angle and the hypotenuse

d)

one angle and the opposite and hypotenuse

33.

a)

20

b)

5.9

c)

33

d)

42

34.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

35.

Which is the correct set up to solve for x?

a)

sin 72 = 6 / x

b)

cos 72 = 6 / x

c)

tan 72 = 6 / x

36.

Solve the right triangle.

a)

<B = 39^o, AB = 11.58, AC = 7.29

b)

<B = 39^o, AB = 7.29, AC = 11.58

c)

<B = 129^o, AB = 11.58, AC = 7.29

d)

<B = 129^o, AB = 7.29, AC = 11.58

37.

Find the length of Side BC.

a)

33

b)

24

c)

12

d)

29

38.

Find the length of side AB.

a)

10

b)

8

c)

6.1

d)

4.9

39.

Find the length of side AC.

a)

12

b)

10

c)

23

d)

14

40.

Identify the Law of Sines

a)

$\sin^2x+\cos^2x=1$

b)

$\frac{\sin\left(A\right)}{a}=\frac{\sin\left(B\right)}{b}=\frac{\sin\left(C\right)}{c}$

c)

$\sin\left(A\right)\sin\left(B\right)\sin\left(C\right)=1$

d)

Soh Cah Toa

41.

Choose the correct ratio.

a)

$\sin\left(Z\right)=\frac{5}{13}$

b)

$\sin\left(X\right)=\frac{5}{13}$

c)

$\cos\left(X\right)=\frac{13}{12}$

d)

$\tan\left(Z\right)=\frac{13}{12}$

42.

Which of the following formulas shows the Law of Cosines?

a)

c² = a² + b² - 4ac + cosA

b)

c² = a² - b² - 2abcosC

c)

c² = a² + b² - 2abcosC

d)

(cos A)/a = (cos B)/b

43.

If three sides of a triangle are given, the Law of ____ is used to solve the triangle.

a)

Cosines

b)

Sines

c)

Tangent

d)

Cosecents

44.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

Law of Gravity

45.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

Law of Gravity

46.

Find QR

a)

34.7 km

b)

2.2 km

c)

13.74

d)

31.1 km

47.

Find m<C

a)

A

b)

B

c)

C

d)

D

48.

Name a radius.

a)

DE

b)

GA

c)

CB

d)

AB

49.

Name a Tangent.

a)

DE

b)

GA

c)

CB

d)

AB

50.

Name a Secant.

a)

DE

b)

GA

c)

CB

d)

AB

51.

Name the point of tangency.

a)

D

b)

G

c)

B

d)

A

52.

Find the red minor arc and its measure. Then find the blue major arc and its measure.

a)

AB, 135; ADB, 225

b)

ADB, 225; AB, 135

53.

Find the m AE

a)

196

b)

257

c)

105

d)

103

54.

Find the m RS

a)

160

b)

132

c)

147

d)

200

55.

Find the measure of Arc MN

a)

66

b)

73.5

c)

147

d)

33

56.

Find the value of x.

a)

31,3

b)

8

c)

16.3

d)

-8

57.

Find the value of x.

a)

25

b)

30.25

c)

7

d)

38

58.

Find the value of x.

a)

15

b)

13

c)

3

d)

6

59.

Find the value of x.

a)

10

b)

181

c)

34

d)

40

60.

Find the value of x.

a)

12.5

b)

8

c)

35

d)

16

61.

Determine the value of x and y.

a)

$x=64^{\circ\ }$ and $y=4$

b)

$x=4$ and $y=64^{\circ}$

c)

$x=116^{\circ}$ and $y=4$

d)

$296^{\circ}$ and undefined

62.

Find the indicated measure.

a)

36 degrees

b)

72 degrees

c)

144 degrees

d)

24 degrees

63.

Find the indicated measure.

a)

58 degrees

b)

61 degrees

c)

30.5 degrees

d)

122 degrees

64.

Find the value of x and y.

a)

x = 120; y = 60

b)

x = 140; y = 56.5

c)

x = 113; y = 70

d)

x = 110; y = 67

65.

Find the value of x and y.

a)

x = 101; y = 88

b)

x = 99; y = 90

c)

x = 94; y = 95

d)

x = 110; y = 79

66.

a)

A

b)

B

c)

C

d)

D

67.

What is the value of x?

a)

92

b)

25

c)

12.5

d)

105

68.

Solve for x.

a)

x = 35.67

b)

x = -1

c)

x = 14

d)

x = -4.33

69.

Find the value of x.

a)

x = 17

b)

x = 16

c)

x = 29.67

d)

x = 18

70.

a)

9

b)

81

c)

27

d)

21

71.

a)

11.67

b)

9.33

c)

11

d)

28

72.

Find the length of WU

a)

5

b)

18

c)

3

d)

11

73.

Solve for x.

a)

x = 35.67

b)

x = -1

c)

x = 14

d)

x = -4.33

74.

What is the distance around a circle?

a)

Circumference

b)

Area

c)

Diameter

d)

Radius

75.

The diameter of a circle is 3 centimeters. What is the circumference?

a)

11.5cm2

b)

9.42 cm2

c)

unicorns are awsome

d)

45.3 cm2

76.

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

a)

20ft

b)

5ft

c)

31.4ft

d)

62.8ft

77.

Find the circumference of a circle with a radius of 12.5 mm .

a)

37.68mm

b)

18.84mm

c)

78.5mm

d)

none of the above

78.

Find the area of the circle.

a)

43.96

b)

153.86

c)

87.82

d)

302.72

79.

What is the area of the circle?

a)

1017.36 in²

b)

113.04 in²

c)

56.52 in²

d)

254.34 in²

80.

Find the area of the sector, rounding your answer to 1d.p.

a)

176.7cm²

b)

23.6cm²

c)

156.7cm²

d)

88.4cm²

81.

Find the area of the sector, rounding your answer to 1d.p.

a)

67.1cm²

b)

67.0cm²

c)

16.8cm²

d)

134.0cm²

82.

FIND THE SECTOR AREA OUTLINED IN BOLD

a)

A

b)

B

c)

C

d)

D

83.

REGULAR in Maths means...

a)

Normal

b)

Two sides have the same length

c)

All sides are equal and all angles are equal

d)

It has right angles

84.

A line from the center of a regular polygon at right angles to any of its sides.

a)

apothem

b)

radius

c)

permimeter

d)

area

85.

Find the area

a)

96 cm²

b)

48 cm²

c)

36 cm²

d)

48 cm

86.

Find the area of this regular polygon.

a)

84.9 m²

b)

82.3 m²

c)

74.9 m²

d)

62 m²

87.

Find the area of this regular polygon

a)

81.8 m²

b)

204.4 m²

c)

408.8 m²

d)

40.8 m²

88.

Find the area of the regular polygon

a)

172.0 in.²

b)

170.0 in.²

c)

17.2 in²

d)

50 in.²

89.

Find the area of the regular polygon.

a)

259.8 m

b)

259.8 m²

c)

259.8 cm

d)

259.8 cm²

90.

a)

55 yd³

b)

121 yd³

c)

22 yd³

d)

330 yd³

91.

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

a)

80 cm³

b)

40 cm²

c)

80 cm²

d)

40 cm³

92.

Calculate the volume of the pyramid in the picture. Round to the nearest whole number if necessary.

a)

216 yd³

b)

108 yd³

c)

72 yd³

d)

36 yd³

93.

Which equation can be used to find the volume of this figure?

a)

Vol = (8 x 8 x 9) (1/3)

b)

Vol = (8 x 9) ( 8)

c)

Vol = (1/3 x 8 x 9) (9)

d)

Vol = (1/2 x 8 x 9) (8)

94.

What is the volume of the following rectangular pyramid?

a)

8085 cubic meters

b)

5390 cubic meters

c)

16170 cubic meters

d)

10780 cubic meters

95.

Find the lateral area and surface area of each figure. Round your answers to the nearest tenth, if necessary.

a)

152.6 cm²; 187.7 cm²

b)

212 ft²; 322 ft²

c)

219.6 in²; 313.2 in²

d)

50.4 in²; 66.4 in²

96.

Find the lateral area and surface area of each figure. Round your answers to the nearest tenth, if necessary.

a)

212 ft²; 322 ft²

b)

152.6 cm²; 187.7 cm²

c)

219.6 in²; 313.2 in²

d)

50.4 in²; 66.4 in²

97.

Find the lateral area and surface area of each figure. Round your answers to the nearest tenth, if necessary.

a)

203.4 m²; 297 m²

b)

37.7 m²; 50.3 m²

c)

50 m²; 75 m²

d)

150 m²; 254.5 m²

98.

What is the surface area?

a)

6658.56 mm²

b)

452.16 mm²

c)

904.32 mm²

d)

108.8 mm²

99.

Barney wanted to know how much ice cream he got in one scoop. The radius of a scoop is 2 inches. Find the volume. Use 3.14 for pi.

a)

345.3 in³

b)

33.5 in³

c)

25.1 in³

d)

50.2 in³

100.

A sphere has the volume of 905 cm. What is the radius of the sphere rounded to the nearest whole number?

a)

6

b)

9

c)

3

d)

12

Geometry Spring Final Review

Total questions: 100

Worksheet time: 5hrs 51mins

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