trel215

Chapter 9 __Chapter 9.1-__ chords and arcs Objectives- Definitions-
 * Define a circle and its associated parts, and use them in cnstructions.
 * Define and use the degree measure of arcs.
 * Define and use the lenght measure of arcs.
 * Prove a theorem about chords and their intercepted arcs.
 * Radius-a segment from the circle that connects to another point in the circle
 * Chord-the endpoints of the segments line on a circle
 * Diameter-chord that contains the cener of the cirlce
 * Arc-unbroken par tof a circle
 * Endpoints- two points that divide the circle into two arcs
 * Semicircle-an arc whose endpoints are the endpoints of the diameter
 * Minor arce-an arc that is shorter than the semicirlce of the circle
 * Major arc-an arc that is longer than the semicircle of the circle

Arc Lenght-
 * L=M/360°(2"3.14"r)

__Chapter 9.2-__tangents to circles Objectives- Definitions- __Chapter 9.3-__inscribed angles and arcs Objectives- Defintions- Inscribed Angle Theorem Right-Angle Corollary Arc-Intercepted Corollary
 * Define tangents and secants of circles
 * Understand the relantionship between tangents and certain radii of cirles
 * Understand the geometry of a radius perpendicular to a chord of a circle
 * Secant- a line that intersects a circle at two different points
 * Tangent- a line in a plane that intersects the circle at only one point
 * Point of Tangency- the point in which the line intersects
 * Define inscribed angle and intercepted arc
 * Develope and use the inscribed Angle Theorem and its corollaries
 * Inscribed angle- angle where its vertex lies on the circle and its sides are chords of the circle
 * the measure of an angle inscribed in a circle is equal to half the measure of the intercepted arc
 * if and inscribed angle interceptes a semi-circle, then the angle is a right triangle
 * if two inscribed angles intercepted the same arc, then they have the same measure

__Chapter 9.4__- angles formed by secants and tangents Objectives- Cases-
 * Define angles formed by secants and tangents of circles
 * Develope and use theorems about measures of arcs intercepted by these angles
 * Case 1: Vertex is on the circle
 * Case 2: Vertex is inside the circle
 * Case 3:Vertex is outside the circle

__Chapter 9.5__- segments of tangents, secants, and chords Objectives- 2 Tangents- 2 Secants- 1 Secant, 1 tangent- 2 Chords-
 * Define special cases of segments related to circles, including secant-secant, secant- tangent, and chord-chord segments.
 * Develope and use theorems about measures of the segments.
 * 2 Tangents are equal
 * 2 Secants (w*o=w*o)
 * whole*outside=whole*outside
 * w*o=t^2
 * whole*outside=tangent^2
 * pt1*pt2=pt1*pt2
 * part 1* part 2= part 1* part 2

__Chapter 9.6__-circle in the coordinate plane Objectives-
 * Develope and use the equation of a circle
 * Adjust the equation for a circle to move the center in a coordinate plane