Geometry
Independent Practice
Name ______________________
Period ___________
Date ___________
10.1 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
3. Draw a secant and
label it .GH
4. Draw a chord and
label
. it EF
Use the diagram to determine if the statement is true or false.
5. The distance between the centers of the circles is equal to the length of the diameter of each circle.
6. The lines y = 0 and y = 4 represent all the common tangents of the two circles.
7. The circles intersect at the point (6, 3).
Draw two circles that have the given number of common tangents.
8. 3
9. 2
10. 0
11. 4
12. In the diagram, BC is a radius of ⊙C. Determine whether AB is tangent to ⊙C. Explain your reasoning.
For 13 and 14, BC is a radius of ⊙C and AB is tangent to ⊙C. Find the value of x.
13.
14.
The points K and M are points of tangency. Find the value(s) of x.
15.
16.
17. Circle the following that are true about Circle C.
A. CH  CD
B. AB is a chord
C G
C.
D. A is a point of tangency
E. E is a point of tangency
Answer Bank (Problems 1-4 and 8-11 not included.)
24
5
64
3, -3
no
A,B,E
false
true
true