Free Printable Unit 5 review Intro to circles

1.

Which number best represents an inscribed angle?

a)

1

b)

2

c)

8

d)

9

2.

a)

A

b)

B

c)

C

d)

D

3.

a)

A

b)

B

c)

C

d)

D

4.

a)

A

b)

B

c)

C

d)

D

5.

What is m∠ACB?

a)

67.5°

b)

90°

c)

22.5°

d)

45°

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

What best describes segment AB?

a)

chord

b)

secant

c)

tangent

d)

diameter

9.

Which number best represents a diameter?

a)

2

b)

5

c)

6

d)

7

10.

Which number best represents a tangent?

a)

3

b)

4

c)

5

d)

6

11.

Assume that lines that appear to be tangent are tangent. O is the circle. What is the value of x?

a)

90

b)

140

c)

220

d)

360

12.

Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?

a)

90

b)

309

c)

129

d)

39

13.

Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?

a)

160

b)

20

c)

70

d)

90

14.

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)

a)

15

b)

6

c)

-24

d)

14

15.

Determine the BD given that segment BC is a tangent.

a)

8

b)

5.8

c)

12.6

d)

17.9

16.

This is a picture of ___________.

a)

Minor Arc

b)

Major Arc

c)

Semi-Circle

d)

Central Angle

17.

This is a picture of ___________.

a)

Minor Arc

b)

Major Arc

c)

Semi-Circle

d)

Central Angle

18.

Find the measure of arc QR

a)

106

b)

85

c)

113

d)

78

19.

Find the measure of angle V

a)

85

b)

80

c)

87

d)

117

20.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

21.

Find the measure of angle B.

a)

32

b)

24

c)

44

d)

36

22.

Find the measure of arc EF.

a)

80

b)

77

c)

107

d)

66

23.

Find m∠ EGF. EF is a diameter of the circle.

a)

45°

b)

60°

c)

90°

d)

100°

24.

Determine the measure of ∠UVS

a)

19.5°

b)

39°

c)

78°

d)

102°

25.

Find the measure of arc NL

a)

21°

b)

42°

c)

45°

d)

84°

26.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

27.

What is the measure of angle A?

a)

34°

b)

180°

c)

112°

d)

79°

28.

Angle R is right because

a)

the triangles is circumscribed and SQ is a radius

b)

the triangles is inscribed and SQ is a radius

c)

the triangles is inscribed and SQ is a diameter

d)

triangle QRS is inscribed

29.

Find the measure of

\angle E.

(a)

30.

a)

32/40

b)

32/24

c)

24/40

d)

24/32

31.

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

32.

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

33.

From the perspective of angle $\theta$ , which trig ratio would correctly compare the 2 sides identified with stars?

a)

Sin

b)

Cos

c)

Tan

34.

From the perspective of angle $\theta$ , which trig ratio would correctly compare the 2 sides identified with stars?

a)

Sin

b)

Cos

c)

Tan

35.

Which is the correct set up to solve for x?

a)

sin 24 = x / 12

b)

cos 24 = x / 12

c)

tan 24 = x / 12

36.

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

37.

Which is the correct set up to solve for x?

a)

sin 51 = 14 / x

b)

cos 51 = x / 14

c)

sin 51 = x / 14

d)

cos 51 = 14 / x

38.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

73.5

d)

68.6

39.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

40.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

41.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

42.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

43.

Solve for x

a)

50.7

b)

50.1

c)

60.7

d)

61.0

44.

Find the missing length.

a)

21

b)

18

c)

16

d)

24

45.

Find the missing length.

a)

6

b)

8

c)

5

d)

None of these

46.

Find the missing length.

a)

35

b)

28

c)

42

d)

13

47.

Which proportion would be correct in order to solve for x. (Hint: remember the side splitter theorem states the sides of the triangles are proportional)

a)

x/10 = 15/30

b)

x/10 = 45/30

c)

x/10 = 15/45

d)

x/10 = 30/15

48.

Find the missing length indicated.

a)

8

b)

9

c)

25

d)

12

49.

In the diagram of ABC shown below, DE is parallel to BC. If AB = 10, AD = 8, and AE = 12, what is the

length of EC?

a)

6

b)

2

c)

3

d)

15

50.

Find the midpoint:

a)

\left(3,-1\right)

b)

$\left(-1,3\right)$

c)

$\left(3,4\right)$

d)

$\left(4,3\right)$

51.

a)

11.4

b)

(1, 1)

c)

(0, 1/2)

d)

(2, 1.75)

52.

Find the midpoint of the segment on the graph. (Hover over picture to expand)

a)

(1,0)

b)

(7,-9)

c)

(4,-3)

d)

(-1,2)

53.

Find the midpoint of the segment on the graph. (Hover over picture to expand)

a)

(1,1)

b)

(-1,-1)

c)

(0,-2)

d)

(-4,-4)

54.

How are the triangles congruent?

a)

SAS

b)

SSS

c)

AAS

d)

HL

55.

How are the triangles congruent?

a)

HL

b)

SAS

c)

ASA

d)

AAS

56.

How are the triangles congruent?

a)

SAS

b)

SSS

c)

ASA

d)

HL

57.

How are the triangles congruent?

a)

ASA

b)

AAS

c)

SAS

d)

SSS

58.

a)

Congruent by HL

b)

Congruent by SAS

c)

Congruent by SSS

d)

Not Necessarily Congruent

59.

Find the area of the circle.

a)

$452.16\ cm^2$

b)

$113.04\ cm^2$

c)

$37.68\ cm^2$

d)

$18.84\ cm^2$

60.

Find the area of the circle.

a)

$7\pi\ cm^2$

b)

$9.25\pi\ cm^2$

c)

$12.25\ cm^2$

d)

$49\pi\ cm^2$

61.

What is the area of this circle?

a)

62.59 cm²

b)

113.1 cm²

c)

19.81 cm²

d)

28.26 cm²

62.

Find the perimeter of this triangle.

a)

12 in

b)

22 in

c)

18 in

d)

24 in

63.

Find the area of this triangle.

a)

12 in²

b)

22 in²

c)

18 in²

d)

24 in²

64.

Find the perimeter of this triangle.

a)

17.5 cm

b)

35 cm

c)

40 cm

d)

12.5 cm

65.

Find the area of this triangle.

a)

20 cm²

b)

35 cm²

c)

40 cm²

d)

12.5 cm²

Unit 5 review Intro to circles

Total questions: 65

Worksheet time: 6hrs 57mins

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