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Geometry Chapter 10 Practice Test


 1. 
Identify the line that appears tangent to circle O and includes point B.
mc001-1.jpg
a.
l
c.
n
b.
m
d.
o
 

 2. 
Find LM.
sa002-1.jpg
 

 3. 
The central angle of a circle measures mc003-1.jpg and intercepts a minor arc. What is the measure of its major arc?
a.
mc003-2.jpg
c.
mc003-4.jpg
b.
mc003-3.jpg
d.
mc003-5.jpg
 

 4. 
Which of these arcs has a measure of mc004-1.jpg?
mc004-2.jpg
a.
mc004-3.jpg
c.
mc004-5.jpg
b.
mc004-4.jpg
d.
mc004-6.jpg
 

 5. 
Circle A has center (0, 0) and radius 3. Circle B has center (-5, 0) and radius 1. What sequence of transformations could be used to show that Circle A is similar to Circle B?
mc005-1.jpg
a.
a translation of the center 5 units to the right and 2 units up; then a dilation with center (0, 0) and scale factor 3
b.
a translation of the center 5 units to the right and 2 units down; then a dilation with center (0, 0) and scale mc005-2.jpg
c.
a translation of the center 5 units to the left and 2 units up; then a dilation with center (-5, 2) and scale factor 3
d.
a translation of the center 5 units to the left and 2 units up; then a dilation with center (-5, 2) and scale factor mc005-3.jpg
 

 6. 
What is BD?
mc006-1.jpg
a.
7.5
c.
9.4
b.
8.5
d.
15
 

 7. 
Find sa007-1.jpg
sa007-2.jpg
 

 8. 
What is mc008-1.jpg?
mc008-2.jpg
a.
mc008-3.jpg
c.
mc008-5.jpg
b.
mc008-4.jpg
d.
mc008-6.jpg
 

 9. 
Which is mc009-1.jpg?
mc009-2.jpg
a.
mc009-3.jpg
c.
mc009-5.jpg
b.
mc009-4.jpg
d.
mc009-6.jpg
 

 10. 
Quadrilateral FGHJ and circle O are shown.
mc010-1.jpg
Given: mc010-2.jpg.

Which statement, if true, would help prove that quadrilateral FGHJ is inscribed in Circle O and why?
a.
mc010-3.jpg; for a quadrilateral inscribed in a circle, adjacent angles are congruent.
b.
mc010-4.jpg; for a quadrilateral inscribed in a circle, adjacent angles are supplementary.
c.
mc010-5.jpg; for a quadrilateral inscribed in a circle, opposite angles are congruent.
d.
mc010-6.jpg; for a quadrilateral inscribed in a circle, opposite angles are supplementary.
 

 11. 
Find sa011-1.jpg.
sa011-2.jpg
 

 12. 
What is mc012-1.jpg?
mc012-2.jpg
a.
mc012-3.jpg
b.
mc012-4.jpg
 

 13. 
What is the value of x?
mc013-1.jpg
a.
20
c.
45
b.
25
d.
65
 

 14. 
Which statement below correctly relates mc014-1.jpg and mc014-2.jpg?

mc014-3.jpg
a.
mc014-15.jpg and mc014-16.jpg are complementary.
b.
mc014-17.jpg and mc014-18.jpg are supplementary.
c.
mc014-19.jpg and mc014-20.jpg are congruent.
d.
It is impossible to determine a relationship between mc014-21.jpg and mc014-22.jpg.
 

 15. 
What is the length of mc015-1.jpg?
mc015-2.jpg
a.
3
c.
8
b.
5
d.
4
 

 16. 
Write the equation of a circle with center M(7, –10) and radius 2.
a.
mc016-1.jpg
c.
mc016-3.jpg
b.
mc016-2.jpg
d.
mc016-4.jpg
 

 17. 
Which is the equation of a circle that passes through mc017-1.jpg and is centered at mc017-2.jpg?
a.
mc017-3.jpg
c.
mc017-5.jpg
b.
mc017-4.jpg
d.
mc017-6.jpg
 

 18. 
A mountain climber is standing at the top of Mount Everest. The distance from the summit to the horizon is about 210 miles. About how high is Mount Everest?
mc018-1.jpg
a.
5.5 mi
c.
210 mi
b.
11 mi
d.
8000 mi
 

 19. 
An arrangement of stones that formed an arc of a circle was discovered. If the chord is 12 meters, find the diameter of the completed circle.
sa019-1.jpg
 

 20. 
A saleswoman uses a map to mark her sales territory. If she considers her office to be located at (0, 0) and her three favorite clients at (24, 15), (sa020-1.jpg, 3), and (10, sa020-2.jpg), how large should her sales radius be rounded up to the nearest whole mile? Determine the equation for the circle with that radius. If she decides to open an office in her home located at (sa020-3.jpg, 10), what should the equation be?
 



 
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