Section 10.1 Tangents to Circles
*Watch this video to give you a better grasp of the vocabulary and examlpes.*
Vocabulary:
CircleRadius (plural radii)DiameterCongruent CirclesChordSecantTangentPoint of Tangency-
Two circles can intersect in two points, one point, or no points.
2 points
1 point
no points
Tangent Circles-
Concentric-
Common Tangent-
Common Internal Tangent-
Common External Tangent-
.
Examples:
1. Name the type of each segment or line:
H
J
B
a)
b)
c)
d)
E
G
C
A
I
F
e)
D
2. Use the graph to help you with the following questions:
a) Give the center and the radius of each circle.
Center of
Radius of
Center of
Radius of
A:
A:
B:
B:
b) Describe the intersection of the two circles and write the
equation for all common tangents (internal and external).
Intersection:
Common Internal Tangents:
Common External Tangents: