Practice
For use with pages 650-658
Use Pto draw the described part of the circle.
2.
Draw a tangent ray and label it CD.
3. Draw a secant and label it EF.
4. Draw a chord and label it GH.
c.
Use the diagram to determine if the statement is true or false.
y]!Iilil!l!_
5. The distance between the centers of the circles is
equal to the length of the diameter of each circle.
t
....
T)
i--
6. The lines y = 0 andy = 4 represent all the
colin-non tangents of the two circles.
P'At- ;
LLLLI i Li__i_I_,_L_L_Lfl_
7. The circles intersect at the point (6, 3).
TiZ-U
8. Suppose the two circles shown are inscribed in a rectangle. The perimeter of the rectangle is 36 units.
Draw two circles that have the given number of common tangents.
9. 3
11. 0
10. 2
In Exercises 12-17, BCis a radius of Cand ABis tangent to C.
Find the value of x.
12.
96
A 13.
14.
15.
16.
56
17.
32
,4
The points Kand Mare points of tangency. Find the value(s) of x.
18.
19.
21=
20.
Swimming Pool You are standing 36 feet
from a circular swilmning pool. The
distance from you to a point of tangency
on the pool is 48 feet as shown. What is
the radius of the swimming pool?
22.
Space Shuffle Suppose a space shuttleis
orbiting about 180 miles above Earth.
What is the distance d from the shuttle to
the horizon? The radius of Earth is about
4000 miles. Round your answer to the
nearest tenth.
48 ft
d
,,j8o mi
:,, 12-!$.+ wq.
Practice
LESSON
10.2
For use widz paes 659-#83
has a measure of 90 in GR. Find the length of PO.
19.
Q
0
Find the indicated arc measure.
21. mAC = ig''=
22. mACB = 2J"
23. mDAB =
Tell whether the given arcs are congruent.
--%
..---..
/%,/
33. AB and CD
32. JK and QR o,,vT"
"
C
"
"
M
34. E_ and GH ol"r
35. STV and UVT t,T
Practice
For use with pages 859-863
Aiq.a. 'lz.,s
in OF, determine whether the given arc is a minor arc, major arc,
or semicircle.
A
B
i. A8
I'tNb
3 EAC
2."
I',A ! Nt>lz-
4. ACD
5. CAD
6. dEB"
AUz-
7. BAE
\ Nt:
8. DEC
Iq/x. elz.
in the figure, PRand QSare diameters of QU. Find the measure of the
indicated arc.
f
9. mPQ
,)z."
11. mTPS
10. mST
.)
12. toRT
R
;.'r(=,"
I1(=,"
13. mRQS
14. mQR
15. ' mPQS
16. m TQR
Z.Z.Z."
17. raPS
7A.t*
18. mPTR
,5'
Pr a ct i ce
ill]k]
AN
Due Thursday, March 19
For use with pages 864-b70
Find the measure of the given arc or chord.
1. mBC = 12."
2. mLM = =
6. mKLM = I::
1420
Find the value of x.
7.
8.
3x- 11
91
R
5
2x+ 7
9x-'7:_ L_T )x+
3x+ 1
x+9
C
.=lO
10.
6X-- 5
11.
7-
12
x*-'-"
12--
V13 + 4x
7x- 10
4
L
3x+ 6
12.
14x- 9
9x+ 21
Practice
LESSON
10.3
For use with pages 4-d70
In Exercises 13-16, determine whether P/;'is a diameter of the circle.
13.
14.
(o
5'
He,
He,
15.
Find the value(s) of the variable. P, Q, and R are points of tangency.
17.
18.
O 4
19.
S
r--= 2... 67
4x+7 S
6x 9
C"
r.= $
K=I2
