Question 1

In the diagram, chord CD is parallel to diameter AB and m $\widehat{AC}$ = 30˚.  What is  m $\widehat{CD}$?

Accepted Answer

120

Answer

60

Answer

100

Answer

150

Question 2

In the diagram, chord BA is parallel to chord CD.  If m∠BCD = 30°, determine and state m∠AOB.

Accepted Answer

120

Question 3

How many common tangent lines can be drawn to these externally tangent circles?

Accepted Answer

3

Answer

4

Answer

2

Answer

1

Question 4

Tangents PA and PB are drawn to circle O from an external point, P, and radii OA and OB are drawn.  If m∠APB = 40, what is the measure of ∠AOB?

Accepted Answer

140

Answer

50

Answer

70

Answer

100

Question 5

In the diagram below of circle C, m $\widehat{QT}$ = 140 and m∠P = 40.  What is m $\widehat{RS}$?

Accepted Answer

60

Answer

100

Answer

90

Answer

50

Question 6

In the diagram, trapezoid ABCD, with bases AB and DC, is inscribed in circle O, with diameter DC. If m $\widehat{AB}$ = 80, find m $\widehat{BC}$.

Accepted Answer

50˚

Question 7

In the diagram of circle O, chord AB is parallel to chord GH. Which statement must always be true?

Accepted Answer

$\widehat{AG}$ $\cong$$\widehat{GH}$

Answer

$\widehat{AC}$ $\cong$$\widehat{CB}$

Answer

$\widehat{AB}$ $\cong$$\widehat{GH}$

Answer

$\widehat{DH}$ $\cong$$\widehat{BH}$

Question 8

In the diagram of circle O shown below, chord CD is parallel to diameter AB and m $\widehat{CD}$ = 110.  What is m $\widehat{DB}$  ?

Accepted Answer

35

Answer

110

Answer

55

Answer

70

Question 9

As shown in the diagram, quadrilateral DEFG is inscribed in a circle and m∠D = 86.  What is m $\widehat{GFE}$ ?

Accepted Answer

172

Question 10

As shown in the diagram, quadrilateral DEFG is inscribed in a circle and m∠D = 86.  What is m∠F?

Accepted Answer

94

Question 11

How many lines of tangency can be drawn to both circle A and circle B?

Accepted Answer

4

Answer

2

Answer

3

Answer

1

Question 12

In the diagram, chords AD and BC intersect at E.  If m $\widehat{AC}$ = 87 and m$\widehat{BD}$ = 35, what is m<CEA?

Accepted Answer

61

Answer

87

Answer

52

Answer

35

Question 13

Quadrilateral JUMP is inscribed in a circle.  If m<J = 96, what is m $\widehat{PMU}$?

Accepted Answer

192

Question 14

Quadrilateral JUMP is inscribed in a circle.  If m<P = 94, what is m<U?

Accepted Answer

86˚

Question 15

In the diagram, m<AEC = 34 and m $\widehat{AC}$ = 50.  What is m$\widehat{BD}$?

Accepted Answer

18

Answer

118

Answer

16

Answer

68

Question 16

In the diagram below, two parallel lines intersect circle O at points A, B, C, and D, with m $\widehat{AB}$ = x + 20 and m $\widehat{CD}$ = 2x - 20.
Find m $\widehat{AB}$.

Accepted Answer

60

Question 17

In circle O, chords AB and CD are parallel.  If m $\widehat{AB}$ = 104 and m $\widehat{CD}$ = 168, the m m $\widehat{DB}$ is

Accepted Answer

44

Answer

88

Answer

96

Answer

38

Question 18

In the diagram of circle O, PAC and PBD are secants.  if m $\widehat{CD}$ = 70 and m $\widehat{AB}$ = 20, the m<P is

Accepted Answer

25

Answer

45

Answer

35

Answer

50

Question 19

In circle O, tangents CA and CB are drawn.  If m<ACB = 38, what is m<AOB

Accepted Answer

142

Answer

104

Answer

71

Answer

161

Question 20

In the diagram below of circle O, m∠ABC = 24.  What is m<AOC?

Accepted Answer

48

Answer

24

Answer

12

Answer

60

Question 21

In the diagram of the circle, AD || BC.  What is m $\widehat{AB}$ ?

Accepted Answer

80

Answer

5

Answer

55

Answer

10

Question 22

In circle O, diameter AC is perpendicular to CD at point C.  Which statement is NOT always true?

Accepted Answer

∠ACB $\cong$∠BCD

Answer

∠CBA $\cong$∠AEC

Answer

∠ABC $\cong$∠ACD

Answer

∠BAC $\cong$∠BCD

Question 23

In the diagram below, quadrilateral ABCD is inscribed in circle P.  What is m<D?

Accepted Answer

108

Answer

72

Answer

110

Answer

70

Question 24

In the diagram,  line EF is tangent to diameter BD at D.  Which angle is always a right angle?

Accepted Answer

<BCD

Answer

<AOD

Answer

<EDC

Answer

<BAC

Question 25

In the diagram, chord BA is parallel to chord CD.  If m∠BCD = 30°, determine and state m∠AOB.

Accepted Answer

120

Question 26

In the diagram, m $\widehat{ABC}$ =  268°.  What is m<ABC?

Accepted Answer

46

Answer

68

Answer

134

Answer

92

Question 27

Based on the diagram, which statement is NOT true?

Accepted Answer

m $\widehat{AB}$ = 1/2 m∠ACB

Answer

m $\widehat{BC}$ = m∠CMB

Answer

∆ABC is a right triangle

Answer

∆AMB is an isosceles triangle

Question 28

Which statement is true about x and y?

Accepted Answer

x = 115 and y = 70

Answer

x = 110 and y = 75

Answer

x = 85 and y = 50

Answer

x = 90 and y = 45

Question 29

In the diagram, what is the measure of $\widehat{DB}$ ?

Accepted Answer

44

Answer

65

Answer

14

Answer

108

Question 30

In the diagram, if m $\widehat{CD}$ = 46° and m $\widehat{DB}$ = 102°, what is m∠CFE?

Accepted Answer

62

Question 31

In the diagram, if m∠RPS = 35°and m $\widehat{RS}$ = 121°, determine and state m $\widehat{TW}$ .

Accepted Answer

51˚

Question 32

In circle O two secants, ABP and CDP, are drawn to external
point P. If m $\widehat{AC}$ = 72°, and m $\widehat{BD}$ = 34°, what is the measure of ∠P?

Accepted Answer

19

Answer

38

Answer

53

Answer

106

Question 33

Use the diagram to determine m $\widehat{XV}$.

Accepted Answer

46

Question 34

Use the diagram to determine m<Y.

Accepted Answer

64

Question 35

Use the diagram to determine m $\widehat{LM}$.

Accepted Answer

116˚

Question 36

Use the diagram to determine m $\widehat{AB}$.

Accepted Answer

158

Question 37

Use the diagram to determine m $\widehat{CD}$.

Accepted Answer

74

Question 38

Use the diagram to determine m<T.

Accepted Answer

35˚

Question 39

Use the diagram to determine m $\widehat{VU}$.

Accepted Answer

205

Question 40

Use the diagram to determine the measure of major arc KM.

Accepted Answer

235˚

Question 41

Use the diagram to determine m $\widehat{GE}$.

Accepted Answer

42˚

Question 42

Use the diagram to determine the measure of major arc PQ.

Accepted Answer

220

Question 43

Use the diagram to determine m<E.

Accepted Answer

55

Question 44

Use the diagram to determine m$\widehat{HF}$.

Accepted Answer

55" 55˚

Question 45

Use the diagram to determine m<L.

Accepted Answer

50˚

Question 46

Use the diagram to determine m<Q.

Accepted Answer

51˚

Question 47

Use the diagram to determine m<F.

Accepted Answer

45˚

Question 48

Use the diagram to determine m $\widehat{GE}$.

Accepted Answer

82˚

Question 49

Use the diagram to determine m<T.

Accepted Answer

70˚

Question 50

Use the diagram to determine m $\widehat{SC}$.

Accepted Answer

50˚

Question 51

Use the diagram to determine m<E.

Accepted Answer

83

Question 52

Use the diagram to determine m<EGF.

Accepted Answer

80

Question 53

Use the diagram to determine m $\widehat{KM}$.

Accepted Answer

85

Question 54

Use the diagram to determine m $\widehat{PQ}$.

Accepted Answer

70˚

Question 55

Use the diagram to determine m<JKL.

Accepted Answer

61˚

Question 56

Use. the diagram to determine m<PQR.

Accepted Answer

35

Question 57

Use the diagram to determine m $\widehat{VU}$.

Accepted Answer

125˚

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