Sangwon Ki 상
Name ——————————————————————— Date ————————————
LESSON
Practice B
10.1 For use with the lesson “Use Properties of Tangents”
Use ( P to draw the described part of the circle.
} ###$.
1. Draw a diameter and label it AB. 2. Draw a tangent ray and label it CD
CD
⑥
이
P 1 P
.
3. Draw a secant and label it EF.
}
4. Draw
임
오 a chord and label it }
GH.
7
LESSON 10.1
P P
Use the diagram to determine if the statement is true or false.
5. The distance between the centers of the circles is y
equal to the length of the diameter of each circle. ll
O O
ㄱ
6. The lines y 5 0 and y 5 4 represent all the
common tangents of the two circles. V = 6
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
. Y= G KF 6
7. The circles intersect at the point (6, 3). A B
1
8. Suppose the two circles shown are inscribed
1 x
in a rectangle. The perimeter of the rectangle
is 36 units.
True
Draw two circles that have the given number of common tangents.
9. 3 10. 2 11. 0
OO
ㄲ
C
}
> }
In Exercises 12–17, BC is a radius of ( C and AB is tangent to ( C.
Find the value of x.
12. B 96 A 13. B 14. B 80르[ 4482
v
108 x
x 45 48 A 6400 =( +320④ 2
100 A
80 3[ 2 ≈ 4096
C C x C C
7 =o
φ
c
」
는
IOO ta 62
x÷ n84
m
SCE28
ㅡ
Geometry
Chapter Resource Book 10-7
Name ——————————————————————— Date ————————————
LESSON
Practice B continued
10.1 For use with the lesson “Use Properties of Tangents”
15. 16. B 56 A 17. B
63
x x 32 A x
C B
x 49 x
x 32 C
C
16
A
The points K and M are points of tangency. Find the value(s) of x.
18. K 19. K 20. J 3 K
4x 1 7 3x 2 2 10
L J J L 2x 2 1 3x 2 2 L
7x 2 8 17
LESSON 10.1
M M M
21. Swimming Pool You are standing 36 feet 22. Space Shuttle Suppose a space shuttle is
from a circular swimming pool. The orbiting about 180 miles above Earth.
distance from you to a point of tangency What is the distance d from the shuttle to
on the pool is 48 feet as shown. What is the horizon? The radius of Earth is about
the radius of the swimming pool? 4000 miles. Round your answer to the
nearest tenth.
48 ft d
180 mi
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
r 36 ft
r
In Exercises 23 and 24, use the following information.
Golf A green on a golf course is in the shape of a circle. 8 ft
Your golf ball is 8 feet from the edge of the green and
32 feet from a point of tangency on the green as shown 32 ft
in the figure.
23. Assuming the green is flat, what is the radius of the green?
24. How far is your golf ball from the cup at the center of the green?
Geometry
10-8 Chapter Resource Book
