Name: 
 

Ch 10 Gateway


 1. 
Rectangle MNPQ is inscribed in a circle.




If the measure of arc MN is 130°,
what is the measure of arc MQ?		mc001-1.jpg
A)
40°
B)
50°
C)
70°
D)
100°
 

 2. 
In the drawing, S, U, and V are collinear
and ST is tangent to the circle at T.


                                
Using the values shown, what is the measure of mc002-1.jpg?		mc002-2.jpg
A)
16
B)
12
C)
10
D)
8
 

 3. 
In circle D,
ÐTUV formed by chord mc003-1.jpg and diameter mc003-2.jpg has a measure of 30°.
    



If the diameter is 24 meters, what is the length of chord mc003-3.jpg?		mc003-4.jpg
A)
mc003-7.jpg m
B)
mc003-8.jpg m
C)
mc003-9.jpg  m
D)
mc003-10.jpg m
 

 4. 
A circle whose center is at (–5, –1) passes through (6, 4).
What is the length of the radius of the circle?
A)
mc004-2.jpg
B)
 mc004-3.jpg
C)
mc004-4.jpg 
D)
mc004-5.jpg
 

 5. 
The diameter of a circle has endpoints mc005-1.jpg and mc005-2.jpg. 
Which is closest to the length of the diameter of the circle? 
A)
14.56
B)
 14.14
C)
4.47 
D)
2.83
 

 6. 
Chords mc006-1.jpg and  mc006-2.jpg intersect at V.







Using the values shown in the diagram, what is the measure of mc006-3.jpg?		mc006-4.jpg
A)
10
B)
8
C)
20
D)
96
 

 7. 
When inscribed in a certain circle,
DKLM intercepts arcs as shown in the diagram.



What is the measure of ÐLKM?		mc007-1.jpg
A)
90°
B)
71°
C)
38°
D)
19°
 

 8. 
What is the diameter of the circle shown?
mc008-1.jpg 
A)
mc008-4.jpg yd
B)
mc008-5.jpg yd.
C)
mc008-6.jpg yd
D)
mc008-7.jpg yd
 

 9. 
The ratio of the circumference of two circles is 3/2. The radius of the smaller
circle is 8 centimeters. What is the radius of the larger circle?
A)
5 1/3 centimeters
B)
6 centimeters
C)
9 centimeters
D)
12 centimeters
 

 10. 
If mc010-1.jpg is a diameter of circle S,
what is mÐNQR?mc010-2.jpg
A)
 30°
B)
45°
C)
80°
D)
90°
 

 11. 
In circle R,
the degree measure of  mc011-1.jpg  is 277°.




What is the degree measure of ÐSRT?		mc011-2.jpg
A)
160°
B)
85°
C)
83°
D)
42°
 

 12. 
If mÐNLM = 44°,
what is mÐNPM?mc012-1.jpg
A)
22°
B)
44°
C)
66°
D)
88°
 

 13. 
If  mc013-1.jpg and  mc013-2.jpg,
what is the measure of mc013-3.jpg, the diameter of this circle?mc013-4.jpg
A)
2.5
B)
5
C)
7.5
D)
10
 

 14. 
Which graph most closely represents   mc014-1.jpg  ?
A)
mc014-5.jpg
C)
mc014-7.jpg
B)
mc014-6.jpg
D)
mc014-8.jpg
 

 15. 
mc015-1.jpg is a diameter of circle N.






What is the value of x?		mc015-2.jpg
A)
7
B)
12
C)
14
D)
17
 

 16. 
mc016-1.jpg is tangent to circle Z at Y,
XY = 32 yards, and the radius of the circle is 24 yards.



To the nearest tenth of a yard, what is the length of mc016-2.jpg?		mc016-3.jpg
A)
8.0 yd
B)
21.2 yd
C)
40.0 yd
D)
56.0 yd
 

 17. 
If mÐTGU = 44° in circle G,
what is mÐTVU?mc017-1.jpg
A)
22°
B)
44°
C)
68°
D)
90°
 

 18. 
Triangle RST is circumscribed about
circle B. C and D are points of tangency such that SC = 5 and TD = 9.






What is the measure of mc018-1.jpg?		mc018-2.jpg
A)
5
B)
9
C)
13
D)
14
 

 19. 
mc019-1.jpg is a diameter of circle C,
and mc019-2.jpg  is parallel to mc019-3.jpg.





If the measure of mc019-4.jpg is 25°,
what is the degree measure of mc019-5.jpg ?		mc019-6.jpg
A)
115°
B)
130°
C)
155°
D)
220°
 

 20. 
The spokes on a wagon wheel form
twelve congruent central angles. 

What is the degree measure of arc mc020-1.jpg?		mc020-2.jpg
A)
30°
B)
90°
C)
120°
D)
150°
 

 21. 
Chords mc021-1.jpg and mc021-2.jpg intersect,
forming segments with the measures shown.







What is the value of x?		mc021-3.jpg
A)
5
B)
4
C)
10
D)
24
 

 22. 
What is mc022-1.jpg in circle V ?
 mc022-2.jpg
A)
mc022-4.jpg
B)
mc022-5.jpg
C)
mc022-6.jpg
D)
mc022-7.jpg
 

 23. 
In the diagram,
mc023-1.jpg is tangent to the circle at point E, and mc023-2.jpg intersects the circle at points G and H.


     
What is the value of x ?		mc023-3.jpg
A)
9.5
B)
9.49
C)
10
D)
13.08
 

 24. 
In circle H,
the degree measure
of minor arc mc024-1.jpg is --		mc024-2.jpg
    
A)
45°
B)
90°
C)
135°
D)
270°
 

 25. 
Given mc025-1.jpg.






What is the mc025-2.jpg ?		mc025-3.jpg
A)
23°
B)
46°
C)
152°
D)
81°
 



 
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