Free Printable Geo Semester 2 Practice Final

1.

A telephone booth that is 8 ft tall casts a shadow that is 4 ft long. Find the height of a lawn ornament that casts a 2 ft shadow.

a)

4 ft

b)

2 ft

c)

8 ft

d)

6ft

2.

A map has a scale of 3 cm:18km. If Oakdale and Woodridge are 54 km apart, then they are how far apart on the map?

a)

15 cm

b)

8.7 cm

c)

9 cm

d)

6 cm

3.

State the postulate that proves these triangles are similar.

a)

SSS

b)

SAS

c)

AA

d)

Not similar

4.

State the postulate that proves these triangles are similar.

a)

SSS

b)

AA

c)

SAS

d)

Not similar

5.

State the postulate that proves these triangles are similar.

a)

SSS

b)

AA

c)

SAS

d)

Not similar

6.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

7.

Find side length X.

a)

22.5

b)

10

c)

9

d)

7.5

8.

What similarity theorem would you use to prove these triangles are similar?

a)

SAS∼

b)

SSS∼

c)

AA∼

d)

BUCK∼

9.

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

10.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

11.

Find x.

a)

5

b)

-31

c)

25

d)

10

12.

Find the missing length.

a)

21

b)

18

c)

16

d)

24

13.

Find the missing length indicated.

a)

5

b)

54

c)

3

d)

35

14.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

15.

Andrew wants to dilate a triangle. If the original triangle has a base of 15 units and an area of 60 square units, what will be the area of the new triangle if the new base is 75?

a)

240 square units

b)

300 square units

c)

1200 square units

d)

1500 square units

16.

Find the missing length indicated.

a)

5

b)

54

c)

3

d)

35

17.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

18.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

19.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

20.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

21.

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the length of the ramp to the nearest tenth of an inch.

a)

4.1 inches

b)

3.9 inches

c)

22.7 inches

d)

0.7 inches

22.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

23.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

24.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

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 the length of the short leg of this 30-60-90 triangle?

a)

6

b)

$\frac{6}{\sqrt{3}}$

c)

3

d)

$\frac{6}{\sqrt{2}}$

28.

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

a)

a = 7√3

b)

a = 7√2

c)

a = 14

d)

a = 14√3

29.

Find x.

a)

9

b)

3√3

c)

6

d)

6√3

30.

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

a)

16

b)

8

c)

8√2

d)

√16

31.

Find the length of m.

a)

4

b)

6

c)

12

d)

2√3

32.

Determine the length of x.

a)

x = 3/2

b)

x = 3

c)

x = 3√3

d)

x = 6

33.

1

a)

A

b)

B

c)

C

d)

D

34.

3

a)

A

b)

B

c)

C

d)

D

35.

find X

a)

52

b)

33

c)

41

d)

49

36.

Find AC

a)

12

b)

10

c)

23

d)

14

37.

Find angle Z

a)

20.15°

b)

71.23°

c)

51.06°

d)

57.71°

38.

Find XZ

a)

16.004 meters

b)

544.165 meters

c)

34.7 meters

d)

1204.165 meters

39.

What is the formula for circumference of a circle given the diameter?

a)

C = π r

b)

C = 2 π r

c)

C = π d

d)

C = 2 π d

40.

If the area of a circle is 25 π in² , then the diameter is?

a)

10 in

b)

5 in

c)

25 in

d)

pi in

41.

If the circumference of a circle is 22 π ft, what is the radius?

a)

22 ft

b)

11ft

c)

π ft

d)

no ft

42.

What is the equation of a circle with radius 4 and center (0, 8)?

a)

x² + (y-8)² = 16

b)

(x-8)² + y² = 4

c)

x² + (y-8)² = 4

d)

x² + (y+8)² = 16

43.

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

44.

What is the equation of the circle, with centre (-4,5) and radius 6 units?

a)

(x - 4)² + (y + 5)² = 6

b)

(x - 4)² + (y + 5)² = 36

c)

(x + 4)² + (y - 5)² = 6

d)

(x + 4)² + (y - 5)² = 36

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.

Solve for x.

a)

x = 9

b)

x = 0

c)

x = 10

d)

x = 6

47.

Solve for x.

a)

x = 6

b)

x = 23

c)

x = 22

d)

x = 0

48.

Is line AB tangent to the circle?

a)

YES

b)

No

c)

Can't be determined

49.

Find approximate value of x.

a)

4.4

b)

8.3

c)

9.4

d)

8.8

50.

A tangent to a circle is ________________________ to the radius drawn to the point of tangency.

a)

congruent

b)

perpendicular

c)

complimentary

d)

supplementary

51.

Find the perimeter of the polygon.

a)

77.8

b)

73.4

c)

78.8

d)

67.4

52.

Using the tangent lines, find the value of x.

a)

60

b)

120

c)

30

d)

300

53.

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

a)

4.1

b)

5.8

c)

4.7

d)

3.6

54.

Find the value of the angle marked x....

a)

88

b)

75

c)

92

d)

102

55.

Find the value of the angle marked x....

a)

90

b)

43

c)

47

d)

53

56.

Find the value of the angle marked x....

a)

50

b)

100

c)

80

d)

90

57.

Find the measure of angle EFH.

a)

61

b)

65

c)

114

d)

130

58.

Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

59.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

60.

Find the measure of the arc or central angle indicated.

a)

54°

b)

82°

c)

144°

d)

70°

61.

Find the measure of the arc or central angle indicated.

a)

130°

b)

47°

c)

40°

d)

92°

62.

Find the measure of the arc or angle indicated.

a)

39°

b)

32°

c)

48°

d)

34°

63.

Find the value of x.

a)

10

b)

181

c)

34

d)

40

64.

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

a)

5

b)

9

c)

8

d)

6

65.

Solve for the indicated Segment

a)

17

b)

22

c)

5.5

d)

11

66.

Given the following inscribed quadrilateral, what is the value of y?

a)

10

b)

20

c)

30

d)

40

67.

opposite angles in any quadrilateral inscribed in a circle are __________ of each other.

a)

complements

b)

supplements

c)

congruent

d)

opposite

68.

In a circle, if a diameter is is perpendicular to a chord, then:

a)

it bisects the chord

b)

it bisects the corresponding arc

c)

it bisects BOTH the chord and its arc

d)

none of these answers are correct

69.

What is the area of this circle?

a)

1385.44

b)

2142.12

c)

5541.77

d)

1289.12

70.

What is the area of this circle?

a)

4π

b)

8π

c)

16π

d)

π

71.

What is the area of this circle?

a)

12π

b)

6π

c)

144π

d)

36π

72.

What is the radius of a circle with an area of 49π?

a)

49

b)

10

c)

7

d)

14

73.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer as an exact value

a)

5π/3

b)

10π/3

c)

10π

d)

40π

74.

What is the area of the shaded region? Round to the nearest hundredth.

a)

8π/3

b)

2π/3

c)

32π/3

d)

4π/3

75.

What is the area of the shaded region? Leave your answer as an exact value.

a)

25π - 50

b)

25π - 100

c)

5π - 50

d)

5π - 100

76.

FIND THE SECTOR AREA OUTLINED IN BOLD

a)

A

b)

B

c)

C

d)

D

77.

Find the area of a parallelogram with a base of 30 m and a height of 25 m

a)

750 m²

b)

375 m²

c)

705 m²

d)

110 m²

78.

Find the area

a)

25 yd²

b)

20 yd²

c)

30yd²

d)

25.5yd²

79.

Find the area of the triangle.

a)

39 sq feet

b)

30.8 sq feet

c)

78 sq feet

d)

101.4 sq feet

80.

Find the area of the figure

a)

43 sq inches

b)

102 sq inches

c)

37 inches

d)

90 sq inches

81.

Area?

a)

31.5 u sq

b)

63 u sq

c)

77 u sq

d)

38.5 u sq

82.

Area?

a)

56 in sq

b)

41 in sq

c)

53 in sq

d)

75 in sq

83.

find the area

a)

70

b)

35

c)

140

d)

60

84.

find the area

a)

19.5

b)

78

c)

39

d)

27

85.

Find the area

a)

41 yd

b)

45 yd²

c)

44 yd²

d)

43 yd

86.

What is the area of this rhombus?

a)

48 cm²

b)

24 cm²

c)

16 cm²

d)

32cm²

87.

In a regular polygon, the line from the center to an outer vertice is a(n)

a)

Apothem

b)

Central Angle

c)

Radius

d)

Regular Polygon

88.

In a regular polygon the line from the center to the mid-point of an outer side is a(n)

a)

Radius

b)

Central Angle

c)

Sine

d)

Apothem

89.

Find the area of this regular polygon.

a)

84.9 m²

b)

82.3 m²

c)

74.9 m²

d)

62 m²

90.

Find the area of this regular polygon

a)

81.8 m²

b)

204.4 m²

c)

408.8 m²

d)

40.8 m²

91.

Find the area of the regular polygon.

a)

259.8 m

b)

259.8 m²

c)

259.8 cm

d)

259.8 cm²

92.

Find the lateral area of the figure.

a)

96 ft²

b)

192 ft²

c)

84 ft²

d)

108 ft²

93.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

94.

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

a)

468 in²

b)

540 in²

c)

576 in²

d)

700 in²

95.

A cube's side length measures 15 inches. What is the surface are of the cube?

a)

225 in²

b)

1350 in²

c)

3375 in²

d)

1125 in2

96.

a)

575.3 cm

b)

287.6

c)

398.5

d)

604.1

97.

a)

A) 424.12

b)

B) 791.68

c)

C) 339.29

d)

D) 282.74

98.

Calculate the surface area of the pyramid.

a)

228 m²

b)

144 m²

c)

300 m²

d)

156 m²

99.

Calculate the surface area.

a)

56.5 in²

b)

91.5 in²

c)

169.56 in²

d)

28.3 in²

100.

Calculate the surface area of the given prism.

a)

316 cm²

b)

352 cm²

c)

440 cm²

d)

292 cm²

101.

Find the volume.

a)

55 yd³

b)

121 yd³

c)

22 yd³

d)

330 yd³

102.

A cube has a length of 3 inches. Find the volume.

a)

9 inches³

b)

12 inches³

c)

27 inches³

d)

18 inches³

103.

Find the area of the shape above

a)

67

b)

52 sq cm

c)

67 sq cm

d)

52 cm

104.

Find the volume of the cylinder.

a)

282.6

b)

516.2

c)

133

d)

214

105.

V = ?

a)

14.13 in³

b)

56.52 in³

c)

169.56 in³

106.

Find the Volume of the Sphere

a)

904.32 ft³

b)

7,234.56 ft³

c)

150.72 ft³

107.

The units for Volume are always

a)

squared (to the 2nd power)

b)

cubed (to the 3rd power)

c)

quad (to the 4th power)

d)

pent (to the 5th power)

Geo Semester 2 Practice Final

Total questions: 107

Worksheet time: 7hrs 30mins

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