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8-5 Self Check

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Florence, Kirby, and Angelina were riding a carousel at the state fair.   They were riding separate horses, all the same distance from the center.  If the arc between Florence and Kirby measured 60 degrees as measured from the center of the carousel, and Angelina was not between them, what is the measure of the arc between Florence and Kirby from Angelina’s perspective?
A
60°
B
120°
C
45°
D
30°
 

 2. 

There are eighteen seats on a Ferris wheel at the amusement park.  They are all spaced evenly around the outside and are number one through eighteen in order.   Tamika and Julio get in seat #1, and the Ferris wheel seats are loaded in order.   Ann and Jim get in seat #8 and look up at Tamika and Julio.  At what angle of elevation are they looking with respect to the ground?
A
60°
B
70°
C
80°
D
90°
 

 3. 

Solve for x in the diagram below.
mc003-1.jpg
A
12
B
9
C
18
D
16
 

 4. 

Given the diagram below, which statement is false?
mc004-1.jpg
A
measure of arc AD > measure of arc BC
B
measure of arc AB > measure of arc CD
C
measure of arc BD = measure of arc AD
D
measure of arc CD = measure of arc AB
 

 5. 

A sports arena is enclosed by a circular fence.   If someone outside of the fence can see one quarter of it, how much, in degrees, of their field of vision does the fence encompass?
A
75°
B
90°
C
120°
D
150°
 

 6. 

An angle whose measure is equal to one-half the difference of the measures of its intercepted arcs has its vertex
A
in the interior region of the circle
B
on the circle
C
in the exterior region of the circle
D
at the central angle
 

 7. 

The angle whose measure is equal to one-half the sum of the measures of its intercepted arcs has its vertex
A
in the exterior region of the circle
B
in the interior region of the circle
C
on the circle
D
at the central angle
 

 8. 

The opposite angles of a quadrilateral inscribed in a circle are always
A
congruent
B
complementary
C
supplementary
D
perpendicular
 

 9. 

Two chords that form the sides of an angle inscribed in a semicircle are always
A
congruent
B
unequal in length
C
perpendicular
D
parallel
 
 
O is the center of the circle and nar001-1.jpg is tangent to the circle.
 

 10. 

In the picture below, what is the value of x°?
mc010-1.jpg
A
30°
B
60°
C
90°
D
150°
 

 11. 

In the picture below, what is the value of x°?
mc011-1.jpg
A
36°
B
72°
C
108°
D
144°
 

 12. 

In the picture below, what is the value of x°?
mc012-1.jpg
A
20°
B
50°
C
60°
D
70°
 

 13. 

In the picture below, what is the value of x°?
mc013-1.jpg
A
30°
B
50°
C
80°
D
90°
 

 14. 

In the picture below, what is the value of x°?
mc014-1.jpg
A
30°
B
60°
C
90°
D
150°
 

 15. 

In the picture below, what is the measure of mc015-1.jpg?
mc015-2.jpg
A
10°
B
40°
C
60°
D
90°
 



 
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