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Cumulative Ch 10 Gateway

 1. 
Given:
Segments AE and BD bisect each other at C 

             
Which could be used to prove mc001-1.jpg?		mc001-2.jpg
 
A)
(ASA) If 2 angles and the side between them in one triangle are congruent to 2 angles and the side between them in another triangle, then the triangles are congruent
B)
(AAS) If 2 angles and a side not between them in one triangle are congruent to 2 angles and a side not between them in another triangle, then the triangles are congruent
C)
(SAS) If 2 sides and the angle between them in one triangle are congruent to 2 sides and the angle between them in another triangle, then the triangles are congruent
D)
(SSS) If 3 sides of one triangle are congruent to 3 sides of another triangle, then the triangles are congruent.
 

 2. 
A circle has a radius of 13 milimeters. 
The measure of the arc of the shaded section is 75°.



Which is closest to the area of the shaded section of the circle?		mc002-1.jpg
A)
530.9 mm2
B)
110.6 mm2
C)
442.4 mm2
D)
27.7 mm2
 

 3. 
In circle L,
the degree measure of  mc003-1.jpg  is 273°.




What is the degree measure of mc003-2.jpgMLN?		mc003-3.jpg
A)
85°
B)
44°
C)
160°
D)
87°
 

 4. 
Which graph most closely represents   mc004-1.jpg  ?
A)
mc004-5.jpg
C)
mc004-7.jpg
B)
mc004-6.jpg
D)
mc004-8.jpg
 

 5. 
Consider the following statement.
          If mc005-1.jpg, then x = 2.
Which is the inverse of the statement?
A)
If mc005-2.jpg, then mc005-3.jpg.
C)
If mc005-6.jpg, then mc005-7.jpg.
B)
If mc005-4.jpg, then mc005-5.jpg.
D)
If mc005-8.jpg, then mc005-9.jpg.
 

 6. 
The figure shows a circle
mmc006-1.jpgSQR = 47° and mmc006-2.jpgQSR = 57°.





What is the measure of mc006-3.jpg ?		mc006-4.jpg
A)
94°
B)
114°
C)
76°
D)
152°
 

 7. 
Chords mc007-1.jpg and  mc007-2.jpg intersect at V.







Using the values shown in the diagram, what is the measure of mc007-3.jpg?		mc007-4.jpg
A)
20
B)
6
C)
10
D)
96
 

 8. 
Rectangle CDEF is inscribed in a circle.




If the measure of arc CD is 137°,
what is the measure of arc DE?		mc008-1.jpg
A)
86°
B)
43°
C)
33°
D)
63°
 

 9. 
Which of the following quadrilaterals is not a parallelogram?
A)
Rhombus
B)
Kite
C)
Rectangle
D)
Square
 

 10. 
A circle whose center is at (–7, –9) passes through (5, 5).
What is the length of the radius of the circle?
A)
mc010-2.jpg
B)
mc010-3.jpg 
C)
 mc010-4.jpg
D)
mc010-5.jpg
 

 11. 
The ratio of the circumference of two circles is 3/2. The radius of the smaller
circle is 8 milimeters. What is the radius of the larger circle?
A)
5 1/3 milimeters
B)
12 milimeters
C)
9 milimeters
D)
6 milimeters
 

 12. 
Circle C has a center at (–1, –5) and a diameter of 10 units.  Which point lies on circle C?
A)
(9, 5)
B)
(–1, –5)
C)
(2, –1)
D)
(–7, –13)
 

 13. 
Which of the following could not be the lengths of the sides of a triangle?
A)
12 in., 13 in., 14 in.
C)
23 in., 11 in., 34 in.
B)
16 in., 27 in., 23 in.
D)
18 in., 16 in., 17 in.
 

 14. 
Lines a and y intersect
lines t and u.





Which statement could be used to prove mc014-1.jpg?		mc014-2.jpg
A)
mc014-8.jpg and mc014-9.jpg are supplementary and mc014-10.jpg
B)
mc014-11.jpg and mc014-12.jpg
C)
mc014-13.jpg and mc014-14.jpg are supplementary, and mc014-15.jpg and mc014-16.jpg are supplementary
D)
mc014-17.jpg and mc014-18.jpg
 

 15. 
A regular decagon has what type of symmetry?
A)
Both point and line symmetry
C)
Neither point nor line symmetry
B)
Line symmetry only
D)
Point symmetry only
 

 16. 
Donovan attached a wire
between two poles on a hill as shown.
           
Which is closest to x, the distance between the two poles?		mc016-1.jpg
A)
134 yd
B)
144 yd
C)
41 yd
D)
43 yd
 

 17. 
Which additional piece of information
would prove that mc017-1.jpgMNP ~ mc017-2.jpgQRS?mc017-3.jpg
A)
QR = 45
B)
RS= 35
C)
QR = 14
D)
RS = 45
 

 18. 
What is mc018-1.jpg in circle P ?
 mc018-2.jpg
A)
mc018-4.jpg
B)
mc018-5.jpg
C)
mc018-6.jpg
D)
mc018-7.jpg
 

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





If the measure of mc019-4.jpg is 27°,
what is the degree measure of mc019-5.jpg ?		mc019-6.jpg
A)
224°
B)
126°
C)
153°
D)
117°
 

 20. 
The circumference of circle V is 30p.
What is the length of mc020-1.jpg?mc020-2.jpg
A)
20p
B)
10p
C)
3.33p
D)
2.5p
 

 21. 
In the drawing, P, R, and S are collinear
and PQ is tangent to the circle at Q.


                                
Using the values shown, what is the measure of mc021-1.jpg?		mc021-2.jpg
A)
32
B)
24
C)
16
D)
20
 

 22. 
mc022-1.jpg is a diameter of circle U.






What is the value of x?		mc022-2.jpg
A)
12
B)
4.5
C)
9
D)
6
 

 23. 
Rectangle ABCD is placed
on a grid as shown.










Which is closest to the
length of diagonal mc023-1.jpg?		mc023-2.jpg
A)
16.0
B)
12.0
C)
13.9
D)
14.4
 

 24. 
If mmc024-1.jpgGSH = 50° in circle S,
what is mmc024-2.jpgGJH?mc024-3.jpg
A)
25°
B)
90°
C)
50°
D)
65°
 

 25. 
When inscribed in a certain circle,
mc025-1.jpgCDE intercepts arcs as shown in the diagram.



What is the measure of mc025-2.jpgDCE?		mc025-3.jpg
A)
69°
B)
42°
C)
21°
D)
90°
 



 
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