Name ____________________________________________ Date __________________ Block _________
Properties of Tangents Homework
Match the notation with the term that best describes it.
1. 𝐷𝐷
A. Center
����
3. 𝐶𝐶𝐶𝐶
C. Diameter
5. 𝐶𝐶
E. Point of Tangency
⃖����⃗
7. 𝐴𝐴𝐴𝐴
G. Common Internal Tangent
⃖����⃗
2. 𝐹𝐹𝐹𝐹
B. Chord
����
4. 𝐴𝐴𝐴𝐴
D. Radius
����
6. 𝐴𝐴𝐴𝐴
F. Common External Tangent
⃖����⃗
8. 𝐷𝐷𝐷𝐷
H. Secant
For #9 – 10, tell whether AB is tangent to ʘC. Show your work to justify your reasoning.
9.
10.
D
60
48
15
A
9
C●
20
●C
B
B
A
For #11 – 12, point B is a point of tangency. Find the radius r of Circle C.
11.
12.
B
r
●C
r
14
7
A
B
r
●
C
r
18
A
For #13 – 14, points B and D are points of tangency. Find the value of x
13.
14.
B
●C
B
3x2 – 10
C●
D
D
17
5x – 8
2x + 7
A
15. Each side of quadrilateral TVWX is tangent to Circle Y. Find the perimeter of the quadrilateral.
4.5
1.2
T
V
Y
X
●
3.3
3.1
8.3
W
16. A bicycle chain is pulled tightly so that �����
𝑀𝑀𝑀𝑀 is a common tangent of the gears. Find the distance
between the centers of the gears.
17. Find the values of x and y. Show all work.
A