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GEO_final_spring

Total questions: 80

Worksheet time: 7hrs 40mins

Name
Class
Date
1.

Find the volume of a sphere with diameter of 8 cm (use π = 3.14)

a)

67.0 cm3

b)

2,143.6 cm3

c)

133.97 cm3

d)

267.9 cm3

2.

Find the surface area of a sphere with a radius of 5 inches (use π as 3.14).

a)

1,256 in2

b)

314 in2

c)

628 in2

d)

157 in2

3.

Find the length of the hypotenuse of a 45-45-90 triangle with legs of 12 inches.

a)

24 in

b)

16.97 in

c)

10.39 in

d)

8.49 in

4.

Find the sum of the interior angles of a decagon

a)

72°

b)

144°

c)

1,800°

d)

1,440°

5.
a)

264 cm3

b)

312 cm3

c)

480 cm3

d)

528 cm3

e)

5280 cm3

6.

Find the apothem of a regular hexagon with radius of 6 inches.

a)

3 in

b)

6 in

c)

5.20 in

d)

4.24 in

7.

Find the central angle of a regular nonagon

a)

1,260°

b)

140°

c)

60°

d)

40°

8.

This graph displays which type of transformation?

a)

Translation

b)

Rotation

c)

Reflection

9.

Find the volume of a cube with 9 cm sides

a)

384 cm3

b)

64 cm3

c)

729 cm3

d)

27 cm3

e)

81 cm3

10.
a)

113.2 cm2

b)

49.3 cm2

c)

154.4 cm2

d)

226.4 cm2

11.

Given the area of a circle is approximately 907.46 cm2, find its radius (use π = 3.14)

a)

8.5 cm

b)

17 cm

c)

30.13 cm

d)

34 cm

e)

287 cm

12.

Given the base of a 40 foot ladder is 8 feet away from the side of a house, how high does the ladder reach on the house?

a)

39.19 ft

b)

40.79 ft

c)

32 ft

d)

Cannot be determined

13.

Which statement best describes the platonic solids

a)

The set of regular pyramids

b)

The set of all cubes

c)

The set of regular polygons

d)

The set of regular polyhedra

e)

The set of regular prisms

14.

Write the trigonometric equation needed to find how tall a bridge is if a person standing 200 feet away from the bridge can see the top of the bridge at an angle of elevation of 24°?

a)
b)
c)
d)
e)
15.

Which of the following is NOT a Pythagorean triple?

a)

8, 15, 17

b)

4, 5, 6

c)

5, 12, 13

d)

20, 21, 29

16.

Which of the following is NOT a member of the 3, 4, 5 family of Pythagorean triples?

a)

5, 6, 7

b)

6, 8, 10

c)

30, 40, 50

d)

21, 28, 35

17.

If ΔABC ~ ΔDEF, which of the following statements is NOT true?

a)
b)
c)
d)
18.

Determine which theorem or postulate could be used to prove this pair of triangles are similar.

a)

AA~

b)

SAS~

c)

ASA~

d)

SSS~

e)

The triangles aren't similar

19.

Determine which theorem or postulate could be used to prove this pair of triangles are similar.

a)

AA~

b)

SAS~

c)

ASA~

d)

SSS~

e)

The triangles aren't similar

20.

Determine which theorem or postulate could be used to prove this pair of triangles are similar.

a)

AA~

b)

SAS~

c)

ASA~

d)

SSS~

e)

The triangles aren't similar

21.
a)

36

b)

10.8

c)

7.2

d)

6

e)

5

22.

What is the geometric mean of 4 and 9?

a)

5

b)

6

c)

7

d)

8

23.
a)

36

b)

10.8

c)

7.2

d)

6

e)

5

24.
a)

504 cm3

b)

72 cm3

c)

120 cm3

d)

28 cm3

e)

720 cm3

25.

Find x

a)

10.5

b)

14

c)

12

d)

17.5

26.

A polyhedron made of four equilateral triangles is a _______

a)

tetrahedron

b)

octahedron

c)

dodecahedron

d)

icosahedron

27.

A polyhedron made of eight equilateral triangles is a _______

a)

tetrahedron

b)

octahedron

c)

dodecahedron

d)

icosahedron

28.

A polyhedron made of twenty equilateral triangles is a _______

a)

tetrahedron

b)

octahedron

c)

dodecahedron

d)

icosahedron

29.

A polyhedron made of twelve regular pentagons is a _______

a)

tetrahedron

b)

octahedron

c)

dodecahedron

d)

icosahedron

30.

Determine the number of faces on this polyhedron:

a)

2

b)

6

c)

8

d)

12

e)

18

31.

Determine the number of edges on this polyhedron:

a)

2

b)

6

c)

8

d)

12

e)

18

32.

Determine the number of vertices on this polyhedron:

a)

2

b)

6

c)

8

d)

12

e)

18

33.
a)

5,495 cm

b)

106.84 cm

c)

15.26 cm

d)

7.63 cm

34.

Use your calculator to evaluate sin 63° (round to three decimal places)

a)

0

b)

1.396

c)

0.454

d)

0.891

e)

Undefined

35.

If tan θ = 1.486, find the measure of the angle θ to the nearest degree.

a)

47°

b)

0.026°

c)

124°

d)

56°

e)

Cannot be determined

36.

If the sides of two equilateral triangles are in the ratio of 5 : 7, then the ratio of their areas will be _______

a)

5 : 7

b)

5√3 : 7√3

c)

15 : 21

d)

25 : 49

e)

10 : 14

37.

In rectangle ABCD the ratio of sides AB to AD is 3 : 7. Find x

a)

32

b)

10.7

c)

58.3

d)

25

e)

175

38.

Find the measure of one interior angle of a regular hexagon

a)

60°

b)

120°

c)

360°

d)

720°

e)

10°

39.

Find the area of the kite

a)

16 cm2

b)

30 cm2

c)

32 cm2

d)

60 cm2

40.

Find x

a)

8

b)

6.66

c)

15

d)

9.6

41.

If a circle has a RADIUS of 6, then its EXACT circumference is...

a)

12π

b)

24π

c)

6π

d)

36π

e)

9π

42.

If a circle has a DIAMETER of 6, then its EXACT area is...

a)

12π

b)

24π

c)

6π

d)

36π

e)

9π

43.
a)

Segment

b)

Sector

c)

Circumference

d)

Pie

44.

What is the measure of a central angle of a regular octagon?

a)

22.5°

b)

360°

c)

45°

d)

135°

e)

1080°

45.

The sum of the measures of the exterior angles of an octagon is _______

a)

22.5°

b)

360°

c)

45°

d)

135°

e)

1080°

46.

Given two regular pentagons with sides of 3 cm and 8 cm, find the ratio of their areas.

a)

3 : 8

b)

6 : 16

c)

9 : 64

d)

27 : 512

e)

Not enough information to determine

47.
a)

121°

b)

59°

c)

242°

d)

118°

e)

239°

48.
a)

58.6 cm2

b)

21,100.8 cm2

c)

7.3 cm2

d)

14.65 cm2

49.

Identify the radius of the hexagon

a)
b)
c)
d)
e)
50.

Which of the following correctly lists the platonic solids?

a)

tetrahedron, cube, octagon, dodecahedron, icosahedron

b)

tetrahedron, square, octagon, dodecagon, icosagon

c)

tetrahedron, cube, octahedron, dodecahedron, icosahedron

d)

triangular based pyramid, square prism, octahedron, dodecahedron, icosahedron

51.

Given the diagonal of a square is 8 cm, find the EXACT length of a side of the square.

a)
b)
c)
d)
e)
52.

Segments AB and BC are tangent to circle D. If AB = 2x + 7, BC = 43, and AD = 5, find the value of x.

a)

18

b)

−1

c)

3 / 2

d)

42.7

e)

Cannot be determined

53.

Given ABCD is inscribed in a circle. If m∠A = 83°, find m∠D.

a)

83°

b)

97°

c)

277°

d)

7°

e)

Cannot be determined

54.

Given measure of arc WR = 92°, find m∠WER.

a)

46°

b)

92°

c)

184°

d)

268°

e)

314°

55.

Given measure of arc WR = 92°, find m∠WTR.

a)

46°

b)

92°

c)

184°

d)

268°

e)

314°

56.

Find x

a)

12

b)

13.5

c)

15.625

d)

23.625

e)

Cannot be determined

57.

Find x

a)

4

b)

14

c)

5.66

d)

6

e)

Cannot be determined

58.

Rewrite the fraction so that the numerator and denominator have the same units then simplify

a)

16 / 3

b)

4 / 9

c)

4 / 3

d)

1 / 27

e)

4 / 27

59.

Solve the proportion

a)

x = 5 / 3

b)

x = 2

c)

x = −10

d)

x = −2

e)

x = 5

60.

Use the triangle to find trigonometric ratio sin A

a)

3 / 5

b)

4 / 5

c)

5 / 3

d)

5 / 4

e)

3 / 4

61.

Use the triangle to find trigonometric ratio cos A

a)

3 / 5

b)

4 / 5

c)

5 / 3

d)

5 / 4

e)

3 / 4

62.

Use the triangle to find trigonometric ratio tan A

a)

3 / 5

b)

4 / 5

c)

5 / 3

d)

5 / 4

e)

3 / 4

63.

Find EXACT value of AC

a)
b)
c)
d)
e)
64.

Identify an apothem of the hexagon

a)
b)
c)
d)
65.

Match the name with the solid

a)

Cylinder

b)

Sphere

c)

Pyramid

d)

Cone

e)

Prism

66.

Match the name with the solid

a)

Cylinder

b)

Sphere

c)

Pyramid

d)

Cone

e)

Prism

67.

Match the name with the solid

a)

Cylinder

b)

Sphere

c)

Pyramid

d)

Cone

e)

Prism

68.

Identify a chord

a)
b)
c)
d)
69.

Identify a central angle

a)
b)
c)
d)
70.

Identify an inscribed angle

a)
b)
c)
d)
71.

Identify a semicircle

a)
b)
c)
d)
72.

This graph displays what type of transformation?

a)

Translation

b)

Rotation

c)

Reflection

73.

Polygons with congruent angles and proportional sides are _______ ?

a)

Congruent

b)

Similar

c)

Platonic Friends

74.

A comparison of two quantities that are measured in the same units.

a)

Extreme

b)

Proportion

c)

Ratio

d)

Mean

75.

An equation that equates two ratios

a)

Extreme

b)

Proportion

c)

Ratio

d)

Mean

76.

A set of all points equal distance from a given point in a plane is a _______ ?

a)

Ellipse

b)

Circle

c)

Rhombus

d)

Square

e)

Triangle

77.

A chord that contains the center of a circle is the _______ (choose the best answer).

a)

Chord

b)

Diameter

c)

Radius

d)

Secant

e)

Tangent

78.

A segment whose endpoints are points on the circle is called the _______

a)

Radius

b)

Secant

c)

Tangent

d)

Chord

79.

Match the name with the solid

a)

Cylinder

b)

Sphere

c)

Pyramid

d)

Cone

e)

Prism

80.

Match the name with the solid

a)

Cylinder

b)

Sphere

c)

Pyramid

d)

Cone

e)

Prism

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