P ARTS OF A CIRCLE Objective: I will be able to identify segments and lines related to circles.

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Presentation transcript:

P ARTS OF A CIRCLE Objective: I will be able to identify segments and lines related to circles.

A IMS R EFERENCE S HEET

D AILY W ARM U P V OCAB 7 W HEN FINISHED WORK ON V OCAB 7

P ARTS OF A CIRCLE Chord- Segment whose endpoints are points on a circle Diameter- A chord that passes through the center of the circle Radius- Segment whose endpoints are at the center of the circle and a point on the circle. Secant- A line that intersects a circle in two points Tangent- a line in the same plane of a circle that intersects the circle in exactly one point (point of tangency).

F OLLOW U P Center Radius Diameter Chord Secant Tangent Point Of tangency PointsSegmentsLines Categorize each of the following terms:

Identify Special Segments and Lines Example 1 SOLUTION a. is a diameter because it contains the center C and its endpoints are points on the circle AD b. is a chord because its endpoints are on the circle. HB Tell whether the line or segment is best described as a chord, a secant, a tangent, a diameter, or a radius of C. EG c. b. HB d. JK AD a. c. is a tangent because it intersects the circle exactly in one point. EG d. is a secant. JK

F OLLOW U P The center of the circle: _____ A point of tangency: _____ Two Radii: __________ Three Chords: _______ Name the following PartsDraw each diagram A with diameters BC & DE F with tangent GH and secant HJ

Name Special Segments, Lines, and Points Example 2 Identify a chord, a secant, a tangent, a diameter, two radii, the center, and a point of tangency. C is the center. K is a point of tangency. AB SOLUTION HJ is a chord. is a secant. is a tangent. FG is a diameter. DE is a radius. CE is a radius. DC

Circles in Coordinate Geometry Example 3 a. Name the coordinates of the center of each circle. Name the coordinates of the intersection of the two circles. b. What is the line that is tangent to both circles? Name the coordinates of the point of tangency. c. d. What is the length of the diameter of B ? W hat is the length of the radius of A ? When a circle lies in a coordinate plane, you can use coordinates to describe particular points of the circle.

Checkpoint Parts of a Circle Identify a chord, a secant, a tangent, a diameter, a radius, the center, and a point of tangency. 1.