PracticeFor use with pages 650-658

Use Pto draw the described part of the circle.

2. Draw a tangent ray and label it CD.

c.

3. Draw a secant and label it EF. 4. Draw a chord and label it GH.

Use the diagram to determine if the statement is true or false.

5. The distance between the centers of the circles isequal to the length of the diameter of each circle.

6. The lines y = 0 andy = 4 represent all thecolin-non tangents of the two circles.

P'At- ;7. The circles intersect at the point (6, 3).

y]!Iilil!l!_

t .... T) i--

LLLLI i Li__i_I_,_L_L_Lfl_

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 10. 2 11. 0

In Exercises 12-17, BCis a radius of Cand ABis tangent to C.Find the value of x.

12. B 96 A 13. B 14. B

15. 16. B 56 A

32

,4

17. B

The points Kand Mare points of tangency. Find the value(s) of x.

18. K 19. K 20.

M M

21= Swimming Pool You are standing 36 feetfrom a circular swilmning pool. Thedistance from you to a point of tangencyon the pool is 48 feet as shown. What isthe radius of the swimming pool?

22. Space Shuffle Suppose a space shuttleisorbiting about 180 miles above Earth.What is the distance d from the shuttle tothe horizon? The radius of Earth is about4000 miles. Round your answer to thenearest tenth.

48 ft d,,j8o mi

:,, 12-!$.+ wq.

LESSON

10.2PracticeFor use widz paes 659-#83

has a measure of 90 in GR. Find the length of PO.

19. P

Q

0

Find the indicated arc measure.

21. mAC = ig''= 22. mACB = 2J" 23. mDAB =

A

B

A

B

Tell whether the given arcs are congruent.

32. JK and QR o,,vT"--% ..---.. /%,/

33. AB and CD -

M

P

R

C" " " D

B

34. E_ and GH ol"r 35. STV and UVT t,T

PracticeFor 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 2."

I'tNb I',A ! Nt>lz-C

3 EAC 4. ACDD

5. CAD 6. dEB"

AUz-

7. BAE 8. DEC

\ Nt: Iq/x. elz.

in the figure, PRand QSare diameters of QU. Find the measure of thea

f Pindicated arc.

9. mPQ 10. mST

,)z." .)

11. mTPS 12. toRT

;.'r(=," I1(=,"R

,5'

13. mRQS 14. mQR

15. ' mPQS 16. m TQR

Z.Z.Z." 7A.t*

17. raPS 18. mPTR

Pr a ct i ce AN Due Thursday, March 19ill]k] For use with pages 864-b70

Find the measure of the given arc or chord.

1. mBC = 12." 2. mLM = =

0

6. mKLM = I::

6

1420

Find the value of x.

7. F

3x+ 1E

2x+ 7G

8. 3x- 11

x+9 C

91 Q R

9x-'7:_ L_T )x+

5

s

.=lO

10. 6X-- 5

V13 + 4x

7-

11. K

12 x*-'-"

12-- i

4L

7x- 10

)3x+ 6

12. V 14x- 9

9x+ 21Y W

X

LESSON

10.3PracticeFor use with pages 4-d70

In Exercises 13-16, determine whether P/;'is a diameter of the circle.

13. p 14. R

(o He, o He,

5' R P

S

15.

S

Find the value(s) of the variable. P, Q, and R are points of tangency.

17. 18. O 4 S

S

19.

r--= 2... 67 r.= $ K=I2

4x+7 S

6x 9

C" R