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Geometry Final Exam Practice

Total questions: 136

Worksheet time: 2hrs 16mins

Name
Class
Date
1.

Solve for x. 1) Where JI = 3x - 1, IH = 11, and JH = 4x + 6. What is the value of x?

(a)  

2.

Solve for x. 2) Where BC = 11x + 1, CD = 8, and BD = 19x + 1. What is the value of x?

a)

x = 1

b)

x = 2

c)

x = 0

d)

x = -1

3.

Classify each angle as acute, obtuse, right, or straight.

a)

Acute

b)

Obtuse

c)

Right

d)

Straight

4.

Classify angle UGF as acute, obtuse, right, or straight.

a)

Acute

b)

Obtuse

c)

Right

d)

Straight

5.

m∠STB = x + 29, m∠BTU = x + 159, and m∠STU = 170°. Find x.

(a)  

6.

Find x if m∠FGH = 14x + 7, m∠FGU = x + 10, and m∠UGH = 140°.

a)

x = 9

b)

x = 8

c)

x = 11

d)

x = 7

7.

Name the relationship between angles a and b shown in the diagram.

a)

adjacent

b)

vertical

c)

linear pair

d)

complementary

e)

alternate interior

8.

Name the relationship of angles a and b in the diagram.

a)

Alternate Exterior

b)

corresponding

c)

Consecutive Interior

d)

Vertical

e)

linear pair

9.

Find the measure of angle b.

a)

b = 71°

b)

b = 109°

c)

b = 19°

d)

b = 90°

10.

Find the measure of angle b.

a)

b = 138°

b)

b = 42°

c)

b = 90°

d)

b = 180°

11.

Solve for x, and Name the Relationship.

a)

x = 7, Corresponding Angles

b)

x = 10, Supplementary Angles

c)

x = 8, Complementary Angles

d)

x = 12, Linear Pair

12.

Solve for x, and Name the Relationship.

a)

x = 6, Alternate Exterior Angles

b)

x = 7, Alternate Interior Angles

c)

x = 8, Vertical Angles

d)

x = 9, Supplementary Angles

13.

Find the midpoint of the line segment with the given endpoints: (6, 7), (3, 3)

a)

Midpoint: (4.5, 5)

b)

Midpoint: (5, 4.5)

c)

Midpoint: (3, 7)

d)

Midpoint: (6, 3)

14.

Find the midpoint of the line segment with the given endpoints: (4, 2), (10, 10)

a)

Midpoint: (8, 8)

b)

Midpoint: (6, 5)

c)

Midpoint: (7, 6)

d)

Midpoint: (5, 4)

15.

Find the distance between each pair of points: (-5, -5), (0, 2)

a)

Distance: √74 or approximately 8.6

b)

Distance: √49 or approximately 7

c)

Distance: √100 or approximately 10

d)

Distance: √50 or approximately 7.1

16.

Find the distance between each pair of points: (-3, 5), (4, 6)

a)

Distance: √50 or approximately 7.1

b)

Distance: √30 or approximately 5.5

c)

Distance: √65 or approximately 8.1

d)

Distance: √20 or approximately 4.5

17.

Find the slope of each line.

a)

The slope is 1.

b)

The slope is 0.

c)

The slope is -1.

d)

The slope is 2.

18.

Find the slope of each line.

a)

The slope is -1.

b)

The slope is 0.

c)

The slope is 1.

d)

The slope is 2.

19.

Find the slope of the line through each pair of points: (-13, -19), (10, 1)

a)

The slope is 20/23.

b)

The slope is 23/20.

c)

The slope is -20/23.

d)

The slope is -23/20.

20.

Find the slope of the line through each pair of points: (13, 20), (-9, -12)

a)

The slope is 32/22 or 16/11.

b)

The slope is 22/32 or 11/16.

c)

The slope is -32/22 or -16/11.

d)

The slope is 25/21 or 25/21.

21.

Find the slope of a line parallel to y = 15x +4y\ =\ -\frac{1}{5}x\ +4

a)

The slope is -1/5.

b)

The slope is 5.

c)

The slope is 1/5.

d)

The slope is -5.

22.

Find the slope of a line parallel to y = 85x3y\ =\ -\frac{8}{5}x-3

a)

The slope is -8/5

b)

The slope is 8/5

c)

The slope is 5/8

d)

The slope is -5/8

23.

Find the slope of a line perpendicular to: y=54xy=\frac{5}{4}x

a)

The slope is -4/5.

b)

The slope is 5/4.

c)

The slope is 4/5.

d)

The slope is -5/4.

24.

Find the slope of a line perpendicular to: y = x + 4

a)

The slope is -1.

b)

The slope is 1.

c)

The slope is 0.

d)

The slope is 4.

25.

Write the slope-intercept form of the equation of the line shown in the graph.

a)

y = (1/3)x - 3

b)

y = 3x + 3

c)

y = -3x - 3

d)

y = -(1/3)x + 3

26.

Write the slope-intercept form of the equation of the line shown in the graph.

a)

y = (4/3)x + 3

b)

y = -(3/4)x + 3

c)

y = (4/3)x - 3

d)

y = -(3/4)x - 3

27.

Classify the triangle by its angles and sides.

a)

Obtuse, Isosceles

b)

Acute, Isosceles

c)

Acute, Scalene

d)

Obtuse, Scalene

e)

Equiangular, Equilateral

28.

Classify the triangle by its angles and sides.

a)

Scalene, Right

b)

Scalene, Obtuse

c)

Isosceles, Right

d)

Scalene, Acute

e)

Isosceles, Acute

29.

Solve for x.

a)

x = -9

b)

x = 9

c)

x = -6

d)

x = 6

30.

Solve for x.

a)

x = -3

b)

x = 3

c)

x = -13

d)

x = 13

31.

Solve for x.

a)

x = 6

b)

x = 8

c)

x = 10

d)

x = 12

32.

Solve for x.

a)

x = 12

b)

x = 10

c)

x = 15

d)

x = 8

33.

Write a statement that indicates that the triangles in each pair are congruent. (Refer to the diagram with triangles ABC and MKC)

a)

△ABC ≅ △KCM

b)

△ABC ≅ △KMC

c)

△ABC ≅ △CBK

d)

△ABC ≅ △MCK

34.

Write a statement that indicates that the triangles in each pair are congruent. (Refer to the diagram with triangles HFG and BFC)

a)

△HFG ≅ △CFB

b)

△HFG ≅ △FBC

c)

△HFG ≅ △CBF

d)

△HFG ≅ △HFB

35.

Find the value of x. (Refer to the diagram)

a)

x = 102°

b)

x = 39°

c)

x = 141°

d)

x = 69°

36.

Find the value of x. (Refer to the diagram)

a)

x = 60°

b)

x = 45°

c)

x = 90°

d)

x = 120°

37.

Solve for x. (Refer to the diagram)

a)

x = 8

b)

x = 2

c)

x = -6

d)

x = 4

38.

Solve for x. (Refer to the diagram)

a)

x = 12

b)

x = -12

c)

x = 24

d)

x = -24

39.

The figure shows a triangle with one of its angle bisectors. Find x if m∠2 = x + 12 and m∠1 = 2x + 4.

a)

x = 8

b)

x = 10

c)

x = 6

d)

x = 12

40.

The figure shows a triangle with one of its angle bisectors. Find x if m∠2 = 14x – 2 and m∠VTU = 25x + 2.

a)

x = 2

b)

x = 1

c)

x = 4

d)

x = 3

41.

State the most specific name for each figure.

a)

Square

b)

Parallelogram

c)

Rectangle

d)

Rhombus

e)

Quadrilateral

42.

State the most specific name for each figure.

a)

Quadrilateral

b)

Parallelogram

c)

Rectangle

d)

Rhombus

e)

Kite

43.

Solve for x.

a)
x = 6
b)

x = 4

c)

x = 8

d)

x = 5

44.

Solve for x.

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

45.

Solve for x. The figure is a parallelogram.

a)
x = 8
b)

x = 6

c)

x = 11.25

d)

x = 5

46.

Solve for x. The figure is a parallelogram.

a)
x = 0
b)

x = 11

c)

x = 22

d)

x = 4

47.

In the trapezoid VWUT, the parallel sides are VU = 22, WT = 26, and DE = 6x - 24. Find the value of x.

a)

x = 8

b)

x = 6

c)

x = 12

d)

x = 10

48.

In the trapezoid STRU, the parallel sides are ST = 22, RU = 24, and MN = 13x - 3. Find the value of x.

a)

x = 2

b)

x = 3

c)

x = 1

d)

x = 4

49.

Find the value of x for rhombus HGEF

a)
x = 10
b)

x = 1

c)

x = 5

d)

x = 20

50.

For rhombus FEGH, Find the value of x.

a)

x = 1

b)

x = 0

c)

x = 2

d)

x = 14

51.

For kite BCDE, Find the value of x.

a)

x = 42

b)

x = 1

c)

x = 0

d)

x = 20

52.

For Kite BCDA, Find the value of x.

a)
x = 5
b)

x = 10

c)

x = 0

d)

x = 15

53.

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if necessary.

a)

1080 degrees

b)

1800 degrees

c)

1620 degrees

d)

1440 degrees

54.

Find the interior angle sum for the polygon. Round your answer to the nearest tenth if necessary.

a)

360 degrees

b)

180 degrees

c)

540 degrees

d)

720 degrees

55.

Find the measure of one interior angle in the regular polygon. Round your answer to the nearest tenth if necessary.

a)

120 degrees

b)

100 degrees

c)

135 degrees

d)

150 degrees

56.

Find the measure of one interior angle in the regular polygon. Round your answer to the nearest tenth if necessary.

a)

108 degrees

b)

120 degrees

c)

100 degrees

d)

90 degrees

57.

Find the measure of one exterior angle in the regular polygon. Round your answer to the nearest tenth if necessary.

a)

60degrees

b)

90 degrees

c)

45 degrees

d)

30 degrees

58.

Find the measure of one exterior angle in the regular polygon. Round your answer to the nearest tenth if necessary.

a)

45 degrees

b)

36 degrees

c)

60 degrees

d)

22.5 degrees

59.

Write the name of the polygon.

a)

Pentagon

b)

Hexagon

c)

Octagon

d)

Triangle

60.

Write the name of the polygon.

a)

Square

b)

Triangle

c)

Rectangle

d)

Pentagon

61.

Solve each proportion.

a23=98\frac{a-2}{3}=\frac{9}{8}

a)

a = 5.375

b)

a = 6.25

c)

a = 4.5

d)

a = 7

62.

Solve each proportion. x+79=37\frac{x+7}{9}=\frac{3}{7}

a)

x = -3.14

b)

x = 3.14

c)

x = -3

d)

x = 3

63.

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.

a)

1:2

b)

2:3

c)

3:4

d)

1:3

64.

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.

a)
1:5
b)

1:4

c)

2:5

d)

1:3

65.

The polygons in each pair are similar. Scale factor from A to B = 1:2. Find the missing side length.

a)
10
b)

5

c)

20

d)

1

66.

The polygons in each pair are similar. Scale factor from A to B = 4:5. Find the missing side length.

a)
28
b)

30

c)

21

d)

35

67.

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

a)

ΔFED ~ ΔSUT

b)

ΔSUT ~ ΔDEF

c)

ΔFED ~ ΔTUS

d)

The triangles are not similar

68.

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

a)

ΔKLM ~ ΔKUV

b)

ΔKLM ≅ ΔKUV

c)

ΔKLM ~ ΔLMK

d)

ΔKLM ≅ ΔLMK

69.

Find the missing length indicated using the figure provided.

a)

12

b)

9

c)

15

d)

18

70.

Find the missing length indicated using the figure provided.

a)

8

b)

6

c)

10

d)

12

71.

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.

a)

10 cm

b)

12 cm

c)

9 cm

d)

7 cm

72.

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.

a)

11 mi

b)

7 mi

c)

13 mi

d)

9.2 mi

73.

Find the missing side. Round to the nearest tenth.

a)

x = 14.3

b)

x = 15.6

c)

x = 31.2

d)

x = 5.4

74.

Find the missing side. Round to the nearest tenth.

a)

x = 21.1

b)

x = 28.4

c)

x = 25.6

d)

x = 9.5

75.

Find the area of the rectangle.

a)

62.41 in2

b)

67.24 in2

c)

64.78 in2

d)

64 in2

76.

Find the area of the rectangle.

a)

14.44 yd2

b)

16 yd2

c)

15.2 yd2

d)

15.2 ft2

77.

Find the area of the triangle

a)

38.5 mi2

b)

77 mi2

c)

15.4 mi2

d)

8.5 mi2

78.

Find the area of the triangle

a)

24 in2

b)

12 in2

c)

48 in2

d)

36 in2

79.

Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.

a)

Area = 43.5 square units

b)

Area = 29.0 square units

c)

Area = 58.0 square units

d)

Area = 25.0 square units

80.

Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.

a)

Area = 114.8 square units

b)

Area = 574.1 square units

c)

Area = 287.1 square units

d)

Area = 1481 square units

81.

Find the area of the regular hexagon shown. The apothem is 8 units. Leave your answer in simplest form.

a)

96√3

b)

64√3

c)

128√3

d)

256√3

82.

Find the area of the regular triangle shown. The apothem is (8√3)/3 units. Leave your answer in simplest form.

a)

32√3

b)

24√3

c)

128√3

d)

64√3

83.

Find the area of the regular hexagon shown. Leave your answer in simplest form.

a)

16932\frac{169\sqrt[]{3}}{2}

b)

2632\frac{26\sqrt[]{3}}{2}

c)

5233\frac{52\sqrt[]{3}}{3}

d)

4833\frac{48\sqrt[]{3}}{3}

84.

Find the area of the regular polygon shown. Leave your answer in simplest form.

a)

284√3

b)

144√3

c)

588√3

d)

493√3

85.

Find the area of the regular hexagon shown. Leave your answer in simplest form.

a)

32√3/3

b)

512√3

c)

364/3

d)

325

86.

Find the area of the regular triangle shown. The radius is 20 units. Leave your answer in simplest form.

a)

100√3

b)

200√3

c)

400√3

d)

300√3

87.

Name each figure.

a)

Square pyramid

b)

Cube

c)

Rectangular prism

d)

Triangular prism

88.

Name each figure.

a)

Cylinder

b)

Cube

c)

Sphere

d)

Cone

89.

Find the surface area of the figure. Round your answers to the nearest hundredth, if necessary.

a)

565.49 cm²

b)

452.39 cm²

c)

678.58 cm²

d)

527.79 cm²

90.

Find the surface area of the figure. Round your answers to the nearest hundredth, if necessary.

a)

22.7 ft²

b)

28.6 ft²

c)

36.4 ft²

d)

42.8 ft²

91.

Find the volume of the figure. Round your answers to the nearest hundredth, if necessary.

a)

2544.69 m³

b)

2010.62 m³

c)

2035.75 m³

d)

2827.43 m³

92.

Find the volume of the figure. Round your answers to the nearest hundredth, if necessary.

a)

1436.76 m³

b)

1200.50 m³

c)

1580.25 m³

d)

1350.00 m³

93.

Find the area of a circle with a radius of 3 mi.

a)

28.3 mi2

b)

18.8 mi2

c)

56.5 mi2

d)

9.4 mi2

94.

Find the area of a circle with a radius of 12 mi.

a)

452.4 mi2

b)

301.6 mi2

c)

314.2 mi2

d)

500.0 mi2

95.

Find the area of a sector with a radius of 15 in and a central angle of 270°.

a)

477.5 in2

b)

530.1 in2

c)

318.3 in2

d)

190.9 in2

96.

Find the area of a sector with a radius of 18 m and a central angle of 225°.

a)

636.2 m2

b)

450.0 m2

c)

800.5 m2

d)

900.0 m2

97.

Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.

a)

182°

b)

134°

c)

120°

d)

150°

98.

Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.

a)

245°

b)

120°

c)

180°

d)

105°

99.

Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.

a)

x = 12.6

b)

x = 9.8

c)

x = 13.3

d)

x = 21.7

100.

Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.

a)

x = 28.0

b)

x = 23.8

c)

x = 29.3

d)

x = 26.5

101.

Find the circumference of the circle. Use your calculator's value of π. Round your answer to the nearest tenth.

a)

50.3 cm2

b)

201.1 cm2

c)

100.5 cm2

d)

76.8 cm2

102.

Find the circumference of the circle. Use your calculator's value of π. Round your answer to the nearest tenth.

a)

50.3 cm

b)

25.1 cm

c)

12.6 cm

d)

100.5 cm

103.

Find the circumference of the circle. Use your calculator's value of π. Round your answer to the nearest tenth.

a)

62.8 cm

b)

314.2 cm

c)

31.4 cm

d)

157.1 cm

104.

Find the circumference of the circle. Use your calculator's value of π. Round your answer to the nearest tenth.

a)

84.2 in.

b)

564.1 in.

c)

21 in.

d)

42.1 in.

105.

Find the measure of each arc.

a)

9π cm or 28.27 cm

b)

18π cm or 56.55 cm

c)

9π2\frac{9\pi}{2} cm or 14.14 cm

d)

6π cm or 18.85 cm

106.

Find the measure of each arc.

a)

49π cm or 153.94 cm

b)

49π2\frac{49\pi}{2} cm or 76.97 cm

c)

49π3\frac{49\pi}{\sqrt[]{3}} cm or 88.88 cm

d)

49π3\frac{49\pi}{3} cm or 51.31 cm

107.

Find the measure of the arc or angle indicated.

a)

74°

b)

48°

c)

64°

d)

160°

108.

Find the measure of the arc or angle indicated.

a)

72°

b)

68°

c)

124°

d)

24°

109.

Line AB is a tangent line of the circle on the figure

a)
True
b)
False
110.

Line AB is a tangent line of the circle on the figure.

a)
True
b)
False
111.

Find the segment length indicated. Assume that lines which appear to be tangent are tangent.

a)

9

b)

11.5

c)

7.5

d)

12

112.

Find the segment length indicated. Assume that lines which appear to be tangent are tangent.

a)

16

b)

12

c)

8

d)

10

113.

Find the measure of the arc or angles indicated. Assume that lines which appear tangent are tangent.

a)

35°

b)

74°

c)

95°

d)

28°

114.

Find the measure of the arc or angles indicated. Assume that lines which appear tangent are tangent.

a)

270⁰

b)

210⁰

c)

280⁰

d)

250⁰

115.

Find the measure of the arc or angles indicated. Assume that lines which appear tangent are tangent.

a)

145°

b)

95°

c)

125°

d)

130°

116.

Find the measure of the arc or angles indicated. Assume that lines which appear tangent are tangent.

a)

46°

b)

58°

c)

52°

d)

49°

117.

Find the measure of the arc or angles indicated. Assume that lines which appear tangent are tangent.

a)

68°

b)

58°

c)

78°

d)

72°

118.

Find the measure of the arc or angles indicated. Assume that lines which appear tangent are tangent.

a)

38°

b)

75°

c)

52°

d)

66°

119.

Solve for x. Assume that lines which appear to be tangent are tangent.

a)

18

b)

12

c)

14

d)

16

120.

Solve for x. Assume that lines which appear to be tangent are tangent.

a)

48

b)

75

c)

64

d)

84

121.

Solve for x. Assume that lines which appear to be tangent are tangent.

a)

7

b)

12

c)

6

d)

18

122.

Solve for x. Assume that lines which appear to be tangent are tangent.

a)

12

b)

10

c)

8

d)

6

123.

Solve for x. Assume that lines which appear to be tangent are tangent.

a)

17

b)

14.86

c)

11.38

d)

24

124.

Solve for x. Assume that lines which appear to be tangent are tangent.

a)

16.89

b)

24

c)

15

d)

21.38

125.

Identify the center and radius of the circle with the following equation.
(X12)2 +(Y6)2=141\left(X-\frac{1}{2}\right)^2\ +\left(Y-6\right)^2=141

a)

Center = (- 12\frac{1}{2} ,-6) radius = 141\sqrt[]{141}

b)

Center = ( 12\frac{1}{2} , 6) radius = 141\sqrt[]{141}

c)

Center = (-6, - 12\frac{1}{2} ) radius = 141\sqrt[]{141}

d)

Center = (6, 12\frac{1}{2} ) radius = 141\sqrt[]{141}

126.

Identify the center and radius of the circle with the equation below.

(x13)2+(y11)2=4\left(x-13\right)^2+\left(y-11\right)^2=4

a)

Center = (-13, -11) radius = 2

b)

Center = (13, 11) radius = 2

c)

Center = (-13, -11) radius = 4

d)

Center = (13, 11) radius = 4

127.

Use the information provided to write the equation of the circle.

Center = (212, 192)\left(\frac{21}{2},\ \frac{19}{2}\right) Radius = 6

a)

(x212)2+(y192)2=36\left(x-\frac{21}{2}\right)^2+\left(y-\frac{19}{2}\right)^2=36

b)

(x+212)2+(y+192)2=36\left(x+\frac{21}{2}\right)^2+\left(y+\frac{19}{2}\right)^2=36

c)

(x212)2+(y192)2=6\left(x-\frac{21}{2}\right)^2+\left(y-\frac{19}{2}\right)^2=\sqrt[]{6}

d)

(x+212)2+(y+192)2=6\left(x+\frac{21}{2}\right)^2+\left(y+\frac{19}{2}\right)^2=\sqrt[]{6}

128.

Use the information provided to write the equation of the circle.

Center = (-9, 12) Radius = 5

a)

(x9)2+(y+12)2=25\left(x-9\right)^2+\left(y+12\right)^2=25

b)

(x+9)2+(y12)2=25\left(x+9\right)^2+\left(y-12\right)^2=25

c)

(x9)2+(y+12)2=5\left(x-9\right)^2+\left(y+12\right)^2=\sqrt[]{5}

d)

(x+9)2+(y12)2=5\left(x+9\right)^2+\left(y-12\right)^2=\sqrt[]{5}

129.

Use the information provided to write the equation of the circle.

Center = (-4, -15), Area = 9π

a)

(x4)2+(y15)2=81π2\left(x-4\right)^2+\left(y-15\right)^2=81\pi^2

b)

(x+4)2+(y+15)2=81π2\left(x+4\right)^2+\left(y+15\right)^2=81\pi^2

c)

(x4)2+(y15)2=20.25\left(x-4\right)^2+\left(y-15\right)^2=20.25

d)

(x+4)2+(y+15)2=20.25\left(x+4\right)^2+\left(y+15\right)^2=20.25

130.

Use the information provided to write the equation of the circle.

Center = (4, 12) Area = 9π

a)

(x+4)2+(y+12)2=20.25\left(x+4\right)^2+\left(y+12\right)^2=20.25

b)

(x4)2+(y12)2=20.25\left(x-4\right)^2+\left(y-12\right)^2=20.25

c)

(x+4)2+(y+12)2=81π2\left(x+4\right)^2+\left(y+12\right)^2=81\pi^2

d)

(x4)2+(y12)2=81π2\left(x-4\right)^2+\left(y-12\right)^2=81\pi^2

131.

Use the information provided to write the equation of the circle.

Center = (4, 11), Circumference = 12π

a)

(x4)2+(y11)2=36\left(x-4\right)^2+\left(y-11\right)^2=36

b)

(x4)2+(y11)2=144π2\left(x-4\right)^2+\left(y-11\right)^2=144\pi^2

c)

(x+4)2+(y+11)2=144π2\left(x+4\right)^2+\left(y+11\right)^2=144\pi^2

d)

(x+4)2+(y+11)2=36\left(x+4\right)^2+\left(y+11\right)^2=36

132.

Use the information provided to write the equation of the circle.

Center = (-10, 2), Circumference = 12π

a)

(x10)2+(y+2)2=144π2\left(x-10\right)^2+\left(y+2\right)^2=144\pi^2

b)

(x10)2+(y+2)2=36\left(x-10\right)^2+\left(y+2\right)^2=36

c)

(x+10)2+(y2)2=36\left(x+10\right)^2+\left(y-2\right)^2=36

d)

(x+10)2+(y2)2=144π2\left(x+10\right)^2+\left(y-2\right)^2=144\pi^2

133.

Use the information provided to write the equation of the circle.

Center = (10, -15), Point on circle = (12, -17)

a)

(x10)2+(y+15)2=8\left(x-10\right)^2+\left(y+15\right)^2=\sqrt[]{8}

b)

(x+10)2+(y15)2=8\left(x+10\right)^2+\left(y-15\right)^2=\sqrt[]{8}

c)

(x+10)2+(y15)2=8\left(x+10\right)^2+\left(y-15\right)^2=8

d)

(x10)2+(y+15)2=8\left(x-10\right)^2+\left(y+15\right)^2=8

134.

Use the information provided to write the equation of the circle.

Center = (-13, -17), Point on Circle = (-12, -16)

a)

(x+13)2+(y+17)2=2\left(x+13\right)^2+\left(y+17\right)^2=2

b)

(x+13)2+(y+17)2=2\left(x+13\right)^2+\left(y+17\right)^2=\sqrt[]{2}

c)

(x13)2+(y17)2=2\left(x-13\right)^2+\left(y-17\right)^2=2

d)

(x13)2+(y17)2=2\left(x-13\right)^2+\left(y-17\right)^2=\sqrt[]{2}

135.

Use the information provided to write the equation of the circle.

a)

(x+1)2+(y1)2=9\left(x+1\right)^2+\left(y-1\right)^2=9

b)

(x+1)2+(y1)2=9\left(x+1\right)^2+\left(y-1\right)^2=\sqrt[]{9}

c)

(x1)2+(y+1)2=9\left(x-1\right)^2+\left(y+1\right)^2=\sqrt[]{9}

d)

(x1)2+(y+1)2=9\left(x-1\right)^2+\left(y+1\right)^2=9

136.

Use the figure provided to write the equation of the circle.

a)

(x1)2+(y3)2=9\left(x-1\right)^2+\left(y-3\right)^2=9

b)

(x1)2+(y3)2=92\left(x-1\right)^2+\left(y-3\right)^2=9^2

c)

(x+1)2+(y+3)2=9\left(x+1\right)^2+\left(y+3\right)^2=9

d)

(x+1)2+(y+3)2=92\left(x+1\right)^2+\left(y+3\right)^2=9^2