Free Printable EOC Review Geometry Module 10

1.

A _________ is a segment in a circle that has endpoints on the circle.

a)

Radius

b)

Diameter

c)

Chord

d)

Arc

2.

A __________ is the set of all points equidistant from a common point.

a)

Circle

b)

Diameter

c)

Radius

d)

Chord

3.

A __________ is a segment that connects the center of a circle to a point on the circle.

a)

Chord

b)

Radius

c)

Diameter

d)

Arc

4.

A __________ is the longest chord in a circle and goes through the center of a circle.

a)

Diameter

b)

Arc

c)

Chord

d)

Radius

5.

Name the circle.

a)

Circle R

b)

Circle T

c)

Circle S

d)

Circle L

6.

Identify a radius.

a)

RS

b)

ST

c)

WL

d)

RT

7.

Identify a chord.

a)

RT

b)

LT

c)

WL

d)

LR

8.

Identify all radii.

a)

DB, FC, BF

b)

FC, DF, FB

c)

EA, DB, FB

d)

CF, DF, EA

9.

How many chords does the circle contain?

a)

0

b)

1

c)

2

d)

3

10.

If AB = 18cm, find AR.

a)

18 cm

b)

36 cm

c)

6 cm

d)

9 cm

11.

If RY = 10 in, find XR and RB.

a)

XR = 20 in, RB = 10 in

b)

XR = 10 in, RB = 10 in

c)

XR = 5 in, RB = 10 in

d)

XR = 10 in, RB = 25 in

12.

If the C = 40π cm, find the radius.

a)

20 cm

b)

40 cm

c)

80 cm

d)

20π cm

13.

If the diameter of a circle is 15 in, find the circumference.

a)

30 cm

b)

30π cm

c)

15π cm

d)

15 cm

14.

Find the exact circumference.

a)

58 mi

b)

29π mi

c)

42π mi

d)

58π mi

15.

The diameter of circle L is 20 units and the diameter of circle M is 13 units and QR = 4. Find LQ.

a)

16 units

b)

6 units

c)

14 units

d)

9 units

16.

Alex has trained his puppy, Popper, to jump through a ring. According to Alex's measurements and calculations, the ring has a diameter of 3.5 feet. What is the ring's circumference (use 3.14 for pi)?

a)

11.32 ft

b)

12.25 ft

c)

10.99 ft

d)

8.75 ft

17.

Jayne has a very large circular lollipop that has a circumference of 25.12 inches. What would the diameter of Jayne’s lollipop be? Use π = 3.14.

a)

4 in.

b)

8 in.

c)

12 in.

d)

16 in.

18.

The circumference is 62.8 inches. What is the radius?

a)

20 inches

b)

10 inches

c)

6.28 inches

d)

31.4 inches

19.

What is the dilation scale factor from B to A?

a)

9/16

b)

4/3

c)

3/4

d)

1

20.

What is the dilation scale factor from B to A?

a)

3/7

b)

7/3

c)

5/7

d)

7/3

21.

What is the translation vector for Circle B to Circle A?

a)

(x, y) →(x + 8, y - 4)

b)

(x, y) →(x - 4, y +8 )

c)

(x, y) →(x - 8, y + 4)

d)

(x, y) →(x + 4, y - 8)

22.

The following sequence of transformations maps Circle A to Circle B:

a)

Reflect across the line y = x, then rotate 90^o clockwise

b)

translate by (x, y) → (x + 6, y - 2) then dilate by scale factor 3/2.

c)

Translate by (x, y) → (x + 6, y - 2) then dilate by scale factor 2/3.

d)

Translate by (x, y) → (x - 6, y + 2) then dilate by scale factor 3/2.

23.

Solve for x. Just type in the numeric value.

(a)

24.

Which is true of a minor arc?

a)

It forms half a circle.

b)

It forms a whole circle.

c)

It measures greater than 180 degrees.

d)

It measures less than 180 degrees.

25.

Which is true of a major arc?

a)

Forms half a circle.

b)

Forms a whole circle.

c)

Measures greater than 180 degrees.

d)

Measures less than 180 degrees.

26.

Name a minor arc

a)

AD

b)

ADB

c)

AB

d)

CD

27.

Name a major arc.

a)

ABD

b)

BDA

c)

BCD

d)

DA

28.

Find arc measure UV

a)

21

b)

93

c)

108

d)

72

29.

Find the measure of the given arc.

a)

$147^o$

b)

$68^o$

c)

$79^o$

d)

$160^o$

30.

(a)

31.

In a circle, a 90° sector has area 64π in². What is the radius of the circle?

a)

16 in

b)

32 in

c)

64 in

d)

128 in

32.

Calculate the length of the bold arc.

a)

49.7 ft

b)

15.8 ft

c)

24.9 ft

d)

3.14 ft

33.

Calculate the area of the sector.

a)

4248 m²

b)

7.9 m²

c)

2827.4 m²

d)

11.8 m²

34.

Calculate the length of the bold arc.

a)

5040 cm

b)

43 cm

c)

44 cm

d)

14 cm

35.

Find the value of x.

a)

10

b)

181

c)

34

d)

40

36.

Find PK.

a)

7

b)

22

c)

44

d)

11

37.

Find the value of x.

a)

15

b)

13

c)

3

d)

6

38.

Find the value of x.

a)

12.5

b)

8

c)

35

d)

16

39.

What is the measure of arc FH?

a)

70

b)

35

c)

140

d)

88

40.

In the circle, arc RS=arc TV.

Find chord RS.

a)

2

b)

3

c)

7

d)

11

41.

What is x?

a)

15

b)

23

c)

2

d)

92

42.

Solve for x.

a)

37.5

b)

11

c)

118

d)

15

43.

Find the measure of <E.

a)

7

b)

8

c)

44

44.

Solve for x.

(a)

45.

AB is a diameter. The measure of angle C is 90 degrees and angle B is 68 degrees. Find the m < A.

a)

90

b)

112

c)

22

46.

Find the value of x. ( enter a numeric answer only )

(a)

47.

What is the measure of angle S?

48.

Find a and b.

a)

a=74 degrees
b=93 degrees

b)

a=93 degrees
b=74 degrees

c)

a=87 degrees
b=106 degrees

d)

a=106 degrees
b=87 degrees

49.

$\angle V=$

a)

$84\degree$

b)

$129\degree$

c)

$49\degree$

d)

$96\degree$

50.

Now it's your turn! Find the value of x.

(a)

51.

A tangent line intersects the circle ...

a)

in exactly two points

b)

in exactly one point

c)

through the center

d)

with the diameter

52.

Assume that all the lines that appear tangent are tangent. Find the perimeter

a)

54

b)

36

c)

48

d)

42

53.

What is the value of x?

a)

22

b)

25

c)

15

d)

20

54.

Find the perimeter of the quadrilateral.

a)

A

b)

B

c)

C

d)

D

55.

Find the value of X

a)

3

b)

16

c)

8

d)

12

56.

Prove BA is a tangent line by proving it is a right angle

a)

Yes

b)

No

57.

Find the length of LK

a)

24

b)

20.25

c)

17.5

d)

12.32

58.

Using lines tangent to the circle, find the value of x.

a)

57

b)

137

c)

47

d)

257

59.

What is the m∠U?

a)

38

b)

19

c)

76

d)

90

60.

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

a)

A

b)

B

c)

C

d)

D

61.

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

a)

A

b)

B

c)

C

d)

D

62.

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

a)

A

b)

B

c)

C

d)

D

63.

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

a)

A

b)

B

c)

C

d)

D

64.

Find the measure of angle EFH.

a)

61

b)

65

c)

114

d)

130

65.

What is the value of x? (Hint: Segment Lengths in Circles)

a)

1.03

b)

2.12

c)

1.25

d)

0.87

66.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

67.

Find the radius r

a)

2

b)

3

c)

4

d)

5

68.

Find the value of x

a)

6

b)

13

c)

10

d)

9

69.

Find the value of x

a)

4

b)

18

c)

3

d)

9

70.

Find the value of x

a)

10

b)

15

c)

12

d)

19

71.

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)

72.

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

a)

4

b)

2

c)

3

d)

16

73.

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

a)

x²+y²=3

b)

x²+y²=6

c)

x²+y²=9

74.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 2)²+ (y + 5)²= 36

b)

(x - 5)² + (y + 2)² = 6

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 2)²+ (y - 5)²= 6

EOC Review Geometry Module 10

Total questions: 74

Worksheet time: 4hrs 37mins

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