section 10-1 tangents to circles. circle the set of all points in a plane that are equidistant from...
TRANSCRIPT
Section 10-1Tangents to
Circles
Circle• The set of all points in a
plane that are equidistant from a given point (center).
CenterCircles are named by their center!
P
Circle P
Interior of a circle• Consists of the points inside
the circle
Exterior of a circle
• Consists of the points outside the circle
L
A
N
G
E
P
Radius
Radius• The distance from the
center of a circle to a point on the circle
P
Radius• Segment whose endpoints are the center of the circle and a point on the circle
• All radii of a circle are congruent!
Two circles are congruent if they have the same
radius.
Chord• A segment whose endpoints
lie on a circle
Diameter• The distance across the
circle, through the center• The diameter is twice the
radius
Diameter
A diameter is a chord of a circle.
Secant• A line that intersects a circle
in two points.–It goes through the circle!
Secant
• A line in the plane of a circle that intersects the circle in exactly one point, called the point of tangency.
tangent
Tangent Line
Point of Tangency
Chord
Diameter
Secant
P
Circle P
Common tangent• A line or segment that is
tangent to two coplanar circles
Common internal tangent
• Intersects the segment that joins the centers of two circles
A
B
Common external tangent• Does NOT intersect the
segment that joins the centers of two circles.
A
B
In a plane, two circles can
intersect in two points, one point,
or no points.
two points of intersection:
One point of intersection:
One point of intersection:
no points of intersection:
Concentric circles• Circles that lie in the same
plane and have the same center