Name: 
 

Lesson 9.5: Tangent Properties



Matching
 
 
Match each term with its definition.
a.
a line that intersects a circle at exactly one point
b.
a line segment joining two points on a circle
c.
a line that intersects a circle at two points
 

 1. 

chord
 

 2. 

secant
 

 3. 

tangent
 

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 4. 

AB is tangent to the circle at point A. The radius, CA, is 3 cm and AB is 4 cm. What is the length of BC?
                        mc004-1.jpg
a.
4.5 cm
b.
4 cm
c.
5 cm
d.
5.8 cm
 

 5. 

AB is tangent to the circle at point A. AB = 24 cm and BC = 25 cm. What is the radius of the circle?
mc005-1.jpg
a.
5 cm
b.
21 cm
c.
7 cm
d.
15 cm
 

 6. 

AD is tangent to the circle at point D. The radius is 15 mm and AC = 60 mm. What is the length of AD?
                        mc006-1.jpg
a.
75 mm
b.
65 mm
c.
58 mm
d.
95 mm
 

 7. 

AB is tangent to the circle at point A, and BD is tangent to the circle at point D. The length of AB = BD = 4.3 cm and the length of BC is 4.7 cm. What is the radius of the circle?
                     mc007-1.jpg
a.
4.4 cm
b.
5.0 cm
c.
2.3 cm
d.
1.9 cm
 

 8. 

What is the perimeter of figure ACDB from question 7?
a.
12.4 cm
b.
17.5 cm
c.
15.7 cm
d.
14.8 cm
 

 9. 

In the circle in question 7, mc009-1.jpg 48mc009-2.jpg. What is the measure of mc009-3.jpg?
a.
126mc009-4.jpg
b.
96mc009-5.jpg
c.
132mc009-6.jpg
d.
148mc009-7.jpg
 

 10. 

Both circles are the same size. AB is tangent to the left circle at point A, BE is tangent to the right circle at point E, and BF is tangent to both circles at point F. AB = 4.5 cm and DE = 2.5 cm.What are the lengths of BE, BF, and AC?
                  mc010-1.jpg
a.
BE = 2.5 cm, BF = 3.5 cm, and AC = 4.5 cm
b.
BE = 4.5 cm, BF = 4.5 cm, and AC = 2.5 cm
c.
BE = 5.4 cm, BF = 4.5 cm, and AC = 2.5 cm
d.
BE = 4.5 cm, BF = 2.5 cm, and AC = 4.5 cm
 



 
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