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Unit 5 Test Review

Total questions: 67

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Which number best represents an inscribed angle?

a)

1

b)

2

c)

8

d)

9

2.

Find the value of x

a)

100

b)

105

c)

95

d)

90

3.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

4.

Determine the value of x using the information in the diagram.

a)

190º

b)

130º

c)

120º

d)

70º

5.

Determine the value of x using the information in the diagram.

a)

136º

b)

70º

c)

68º

d)

66º

6.

Find the length of VZ.

a)

8

b)

9

c)

10

d)

17

7.

Which expression can be used to solve for the unknown angle measure?

a)

? = 118 – 90

b)

? = (118 + 90) ÷ 2

c)

? = 180 - 118

d)

? = 118 + 90

8.

Find each measure. Assume that segments that appear to be tangent are tangent. Type only the numerical answer.

(a)  

9.

Find each measure. Assume that segments that appear to be tangent are tangent. Type only the numerical answer.

(a)  

10.

Determine the measure of ∠UVS.

a)

19.5°

b)

39°

c)

78°

d)

102°

11.

A chord is any line in a circle

a)

True

b)

False

12.

If BDDC\overline{BD}\cong\overline{DC} and  EF  BC\overline{EF}\ \perp\ \overline{BC} , what conclusions can say about  EF\overline{EF}  ? 
(Hint: Use Chord Theorem #2)

a)

 \overline{EF}  is the radius of circle A

b)

 \overline{EF}  is a secant line of circle A

c)

 EF\overline{EF}  is the diameter of circle A

d)

 \overline{EF}  is the tangent line of circle A

13.

solve for f

a)

7

b)

14

c)

21

d)

not enough information to solve

14.

Find the measure of Arc MN

a)

66

b)

73.5

c)

147

d)

33

15.

Use the diagram of Circle A for the following question.
If BECD\overline{BE}\cong\overline{CD} , then what can you determine about the arc measures?
(Hint: Use Chord Theorem #1)

a)
b)
c)
d)

Not enough information

16.
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
17.

Given arc WXY is 210, and arc YZ is 80, what is arc WZ?

a)

70

b)

90

c)

270

d)

35

18.

Given DE is a diameter, what is arc DF?

a)

155

b)

200

c)

150

d)

165

19.
What is the part of the circle highlighted in red called?
a)
semi-circle arc
b)
major arc
c)
minor arc
d)
sector
20.
Which of the following names a radius?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segement BC
21.
What is the part of the circle highlighted in red called?
a)
semi-circle arc
b)
major arc
c)
minor arc
d)
sector
22.
A chord is a segment that connects ___________
a)
the center to the endpoint
b)
to one point outside the circle
c)
a central angle
d)
2 endpoints of a circle
23.
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.
24.
Which of the following would be a major arc in the diagram?
a)
BC
b)
BCD
c)
CD
d)
AB
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.
Say 'TRUE' or 'FALSE'
The diameter is the longest chord of a circle
a)
TRUE
b)
FALSE
27.
a)
A
b)
B
c)
C
d)
D
28.
The intercepted arc of an inscribed angle  is ___________________ the measure of the inscribed angle.
a)
congruent to
b)
half
c)
double
d)
supplementary to 
29.
An inscribed angle that intercepts a semicircle   measures  is a(n) ___________ angle.
a)
right
b)
acute
c)
obtuse
30.
Which number best represents an intercepted arc?
a)
1
b)
2
c)
6
d)
9
31.
a)
A
b)
B
c)
C
d)
D
32.
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
33.
Find the measure of <E.
a)
7
b)
8
c)
44
34.

If <BAD=98, <DCB=?

a)

262

b)

98

c)

180

d)

82

35.

ANY quadrilateral can be inscribed in a circle

a)

TRUE

b)

FALSE

36.

Which statement below is not true?

a)

The sum of the 4 angles is 360.

b)

The opposite angles are supplementary.

c)

These are 4 inscribed angles.

d)

Angle D is congruent to angle C.

37.
Find the perimeter of the triangle.
a)
A
b)
B
c)
C
d)
D
38.
Solve for x.
a)
29
b)
33
c)
41.5
d)
50
39.
Find the measure of angle ABD.
a)
14
b)
51
c)
37
d)
65
40.
Given two secants, solve for x.
a)
10°
b)
20°
c)
30°
d)
40°
41.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
42.
Assume that all the lines that appear tangent are tangent. Find the perimeter
a)
54
b)
36
c)
48
d)
42
43.
Find x
a)
10
b)
5
c)
18
d)
9
44.

Which shows a tangent line?

a)
b)
c)
d)
45.
What can you conclude from the picture?
a)
m is parallel to circle C
b)
m is skew to circle C
c)
m bisects circle C
d)
m is tangent to circle C
46.

What is the definition of a tangent?

a)

A line that intersects the circle on two points.

b)

A line that passes through the center of the circle.

c)

A line segment that passes through the center of the circle.

d)

A line that intersects the circle on only one point.

47.
A tangent to a circle is ________________________ to the radius drawn to the point of tangency.
a)
congruent
b)
perpendicular
c)
complimentary
d)
supplementary
48.

A line segment connecting any two points on a circle is called a _____________.

a)

diameter

b)

chord

c)

radius

d)

Secant

49.
What can you conclude?
a)
AB and AC are not congruent.
b)
AB= half of AC
c)
AC = half of AB
d)
AB=AC
50.
The radius of a circle is
a)
The measurement from the center of a circle to an edge of the circle.
b)
The measurement around the circle
c)
The measurement from and edge of the circle to another edge through the center
d)
A line perpendicular to the diameter of the circle
51.
Which best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
52.
Which best describes line AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
53.

The point B is what in the given diagram

a)

Center

b)

Tangent

c)

Point of tangency

d)

Secant

54.

Find the value of x.

a)

20°

b)

40°

c)

70°

d)

140°

55.

Find the value of y.

a)

75°

b)

105°

c)

95°

d)

85°

56.

Find the value of x.

a)

45

b)

10

c)

20

d)

90

57.

Find the value of x.

a)

88

b)

38

c)

34

d)

44

58.

Find each measure. Assume that segments that appear to be tangent are tangent. Type only the numerical answer.

(a)  

59.

Find each measure. Assume that segments that appear to be tangent are tangent. Type only the numerical answer.

(a)  

60.

Line segments QP and QR are tangent to the circle. What is the measure of minor arc PR?

a)

230 degrees

b)

100 degrees

c)

130 degrees

d)

180 degrees

61.

Solve for x.

a)

2

b)

3

c)

4

d)

12

62.

Solve for x.

a)

A

b)

B

c)

C

d)

D

63.
a)
16
b)
19
c)
21
d)
25
64.
a)
9(9+x)=
8(8+19)
b)
x(x+9)=
19(19+8)
65.
Find the value of x
a)
14
b)
12
c)
19
d)
17
66.
Find the value of x
a)
4
b)
18
c)
3
d)
9
67.

Solve for x

a)

21

b)

15

c)

16

d)

17