Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from...
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Transcript of Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from...
![Page 1: Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.](https://reader035.fdocuments.in/reader035/viewer/2022070409/56649e995503460f94b9be2c/html5/thumbnails/1.jpg)
Section 10-1Tangents to
Circles
![Page 2: Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.](https://reader035.fdocuments.in/reader035/viewer/2022070409/56649e995503460f94b9be2c/html5/thumbnails/2.jpg)
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
![Page 3: Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.](https://reader035.fdocuments.in/reader035/viewer/2022070409/56649e995503460f94b9be2c/html5/thumbnails/3.jpg)
Interior of a circle• Consists of the points inside
the circle
Exterior of a circle
• Consists of the points outside the circle
![Page 4: Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.](https://reader035.fdocuments.in/reader035/viewer/2022070409/56649e995503460f94b9be2c/html5/thumbnails/4.jpg)
L
A
N
G
E
P
![Page 5: Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.](https://reader035.fdocuments.in/reader035/viewer/2022070409/56649e995503460f94b9be2c/html5/thumbnails/5.jpg)
Radius
Radius• The distance from the
center of a circle to a point on the circle
P
![Page 6: Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.](https://reader035.fdocuments.in/reader035/viewer/2022070409/56649e995503460f94b9be2c/html5/thumbnails/6.jpg)
Radius• Segment whose endpoints are the center of the circle and a point on the circle
• All radii of a circle are congruent!
![Page 7: Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.](https://reader035.fdocuments.in/reader035/viewer/2022070409/56649e995503460f94b9be2c/html5/thumbnails/7.jpg)
Two circles are congruent if they have the same
radius.
![Page 8: Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.](https://reader035.fdocuments.in/reader035/viewer/2022070409/56649e995503460f94b9be2c/html5/thumbnails/8.jpg)
Chord• A segment whose endpoints
lie on a circle
![Page 9: Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.](https://reader035.fdocuments.in/reader035/viewer/2022070409/56649e995503460f94b9be2c/html5/thumbnails/9.jpg)
Diameter• The distance across the
circle, through the center• The diameter is twice the
radius
Diameter
![Page 10: Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.](https://reader035.fdocuments.in/reader035/viewer/2022070409/56649e995503460f94b9be2c/html5/thumbnails/10.jpg)
A diameter is a chord of a circle.
![Page 11: Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.](https://reader035.fdocuments.in/reader035/viewer/2022070409/56649e995503460f94b9be2c/html5/thumbnails/11.jpg)
Secant• A line that intersects a circle
in two points.–It goes through the circle!
Secant
![Page 12: Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.](https://reader035.fdocuments.in/reader035/viewer/2022070409/56649e995503460f94b9be2c/html5/thumbnails/12.jpg)
• A line in the plane of a circle that intersects the circle in exactly one point, called the point of tangency.
tangent
![Page 13: Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.](https://reader035.fdocuments.in/reader035/viewer/2022070409/56649e995503460f94b9be2c/html5/thumbnails/13.jpg)
Tangent Line
Point of Tangency
![Page 14: Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.](https://reader035.fdocuments.in/reader035/viewer/2022070409/56649e995503460f94b9be2c/html5/thumbnails/14.jpg)
Chord
Diameter
Secant
P
Circle P
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Common tangent• A line or segment that is
tangent to two coplanar circles
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Common internal tangent
• Intersects the segment that joins the centers of two circles
A
B
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Common external tangent• Does NOT intersect the
segment that joins the centers of two circles.
A
B
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In a plane, two circles can
intersect in two points, one point,
or no points.
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two points of intersection:
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One point of intersection:
![Page 21: Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.](https://reader035.fdocuments.in/reader035/viewer/2022070409/56649e995503460f94b9be2c/html5/thumbnails/21.jpg)
One point of intersection:
![Page 22: Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.](https://reader035.fdocuments.in/reader035/viewer/2022070409/56649e995503460f94b9be2c/html5/thumbnails/22.jpg)
no points of intersection:
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Concentric circles• Circles that lie in the same
plane and have the same center