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WorksheetsCircle Theorems
Total questions: 35
Worksheet time: 2hrs 22mins
Name
Class
Date
1.
Find the value of the angle marked x....
a)
90
b)
43
c)
47
d)
53
2.
Find the value of the angle marked x....
a)
90
b)
45
c)
50
d)
100
3.
Which is the correct way to solve this?
a)
3x+13=-3+5x
b)
3x+13+19.3=-3+5x
c)
(3x+13)(-3+5x)=19.3
d)
3x+13+-3+5x=19.3
4.
Solve for x
a)
9
b)
7
c)
6
d)
8
5.
Solve for x
a)
90
b)
14.5
c)
19.5
d)
25.5
6.
Solve for x
a)
6
b)
7
c)
8
d)
9
7.
find the measure of y
a)
30
b)
60
c)
90
d)
180
8.
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
9.
Two tangents CD and CB intersect circle A. Find the length of the tangent segment BC.
a)
2
b)
3
c)
9
d)
14
10.
In the diagram, the diameter of the circle is perpendicular to the chord. Solve for the value of "x"
a)
26
b)
24
c)
30
d)
20
11.
TS is tangent to circle P. What is x?
a)
11.2
b)
18.0
c)
25.0
d)
30.0
12.
Given AB is a diameter of circle p and if m∠APC = 100°, find m∠CPB
a)
50°
b)
260°
c)
130°
d)
80°
13.
QS is a tangent to circle P. Find QS.
a)
144
b)
14
c)
12
d)
13
14.
What can you conclude?
a)
AB and AC are not congruent.
b)
AB= half of AC
c)
AC = half of AB
d)
AB=AC
15.
Calculate x
a)
68
b)
22
c)
90
d)
136
16.
Calculate w
a)
37
b)
53
c)
90
d)
74
17.
Is line AB tangent to the circle?
a)
YES
b)
NO
NO
NO
c)
Can't Tell
Can't Tell
Can't Tell
18.
Lines AO and BO are tangent. What is the measure of BO?
a)
20
b)
15
c)
10
d)
5
19.
How would you solve this problem?
a)
3x+1 = 6x-14
b)
3x + 1 + 6x - 14 = 180
c)
3x + 1 - 6x - 14 = 180
d)
(3x + 1)(6x - 14)
20.
A tangent to a circle is ________________________ to the radius drawn to the point of tangency.
a)
congruent
b)
perpendicular
c)
complimentary
d)
supplementary
21.
What is the value of DC? (to the nearest hundredth)
a)
9.43
b)
4.43
c)
√89
d)
9
22.
find the measure of y
a)
30
b)
60
c)
90
d)
180
23.
Two tangents of a circle that meet outside of the circle at one point are _________.
a)
congruent
b)
perpendicular
c)
the same
24.
A segment whose endpoints lie on a circle is a _______.
a)
tangent
b)
chord
c)
diameter
d)
secant
25.
A line in the same plane as a circle that intersects the circle at exactly one point is a ____________.
a)
tangent
b)
secant
c)
chord
d)
radius
26.
Lines AO and BO are tangent. What is the measure of BO?
a)
20
b)
15
c)
10
d)
5
27.
find the measure of y
a)
30
b)
60
c)
90
d)
180
28.
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
29.
What is the value of x?
a)
A
b)
B
c)
C
d)
D
30.
What best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
31.
What is the value of x?
a)
22
b)
25
c)
15
d)
20
32.
Name a chord.
a)
Segment XC
b)
Segment KM
c)
Segment HJ
d)
LINE BD
33.
Find x. Assume that segments that appear to be tangent are tangent.
a)
2
b)
11
c)
7.6
d)
9
34.
Lines AO and BO are tangent. What is the measure of BO?
a)
20
b)
15
c)
10
d)
5
35.
Two tangents CD and CB intersect circle A. Find the length of the tangent segment BC.
a)
2
b)
3
c)
9
d)
14
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