Title: GEOMETRY: Chapter 10
1GEOMETRY Chapter 10
2- A circle is the set of all points in a plane that
are equidistant from a given point called the
center of the circle. A circle with center P
can be written P. A segment whose endpoints are
the center of any point on the circle is a
radius. - A chord is a segment whose
- endpoints are on a circle.
- A diameter is a chord that
- contains the center of a circle.
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mages/Circle20terms.jpg
3- A secant is a line that intersects a circle in
two points. A tangent is a line in the plane of a
circle that intersects the circle in exactly one
point, the point of tangency. The tangent ray and
the tangent segment are also called tangents.
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du/STUDENT/bakerl3/secant_tangent.gif
4- Ex.1
- Tell whether the line or segment is best
described as a radius, chord, diameter, secant,
or tangent of circle C.
Image taken from Geometry. McDougal Littell
Boston, 2007. P. 652.
5- Ex.1
- Tell whether the line or segment is best
described as a radius, chord, diameter, secant,
or tangent of circle C. - Answer a) radius b) secant c) diameter d)
tangent
Image taken from Geometry. McDougal Littell
Boston, 2007. P. 652.
6- Ex.2 Use the diagram to find the given lengths.
- Radius of circle B
- Diameter of circle A
- Radius of circle A
- Diameter of circle B
Image taken from Geometry. McDougal Littell
Boston, 2007. P. 653.
7- Ex.2 Use the diagram to find the given lengths.
- Radius of circle B
- Diameter of circle A
- Radius of circle A
- Diameter of circle B
- Answer a) 3 units b) 4 units c) 2 units d) 6
units
Image taken from Geometry. McDougal Littell
Boston, 2007. P. 653.
8- COPLANAR CIRCLESTwo circles can intersect in two
points, one point, or two points. Coplanar
circles that intersect in one point are called
tangent circles. Coplanar circles that have a
common center are called concentric.
Image taken from Geometry. McDougal Littell
Boston, 2007. P. 652.
9- Common TangentsA line, ray, or segment that is
tangent to two coplanar circles is called a
common tangent.
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/dynamic/lessons/les4_7.gif
10- Ex.3 Tell how many common tangents the circles
have and draw them. - Answer a. 2 common tangents b. 4 common c. 3
common tangents
Image taken from Geometry. McDougal Littell
Boston, 2007. P. 653.
11- Ex.3 Tell how many common tangents the circles
have and draw them. - Answer a. 2 common tangents b. 4 common c. 3
common tangents
Image taken from Geometry. McDougal Littell
Boston, 2007. P. 653.
12In a plane, a line is tangent to a circle if and
only if the line is perpendicular to a radius of
the circle at its endpoint on the circle.
Image taken from Geometry. McDougal Littell
Boston, 2007. P. 653.
13Image taken from Geometry. McDougal Littell
Boston, 2007. P. 653.
14- Ex.4
- AnswerNo. 252 6024225, but 6724489
Image taken from Geometry. McDougal Littell
Boston, 2007. P. 653.
15Image taken from Geometry. McDougal Littell
Boston, 2007. P. 654.
16Image taken from Geometry. McDougal Littell
Boston, 2007. P. 654.
17Tangent Segments from a common external point are
congruent.
Image taken fromhttp//www.partnership.mmu.ac.uk/
cme/Geometry/CircleGeom/Images/Tangent.jpg
18Image taken from Geometry. McDougal Littell
Boston, 2007. P. 654.
19Image taken from Geometry. McDougal Littell
Boston, 2007. P. 654.
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