lubr604

9.1 --Define a circle and its associated parts, and use them in constructions. --Define and use the degree measure of arcs. --Define and use the length measure of arcs. --Prove a theorem about chords and their interceptedarcs. __Circle-__ The set of points in a plane that are equidistant from a given point known as the center of the circle. Radius- A straight line extending from the center of a circle or sphere to the circumference or surface. //Radius of a circle is half the diameter.// __Chord-__ A segment whose endpoints lie on a circle. __Diameter-__ A chord that passes through the center of a circle; twice the length of the radius of the circle. __Arc-__A segment of a circle. __Endpoints-__ Either of two points marking the end of a line segment. __Semi-circle-__ Half circle. __Minor arc-__ An arc of a circle that is shorter than a semicircle of that circle. __Major arc-__ An arc of a circle that is longer than a semicircle of that circle. __Central angle-__ An angle formed by two rays originating from the center of a circle. __Intercepted arc-__ An arc whose endpoints lie on the sides of an inscribed angle. __Degree measure of arcs-__ The measure of a major arc is the measure of its central angle. the degree measure of a major arc is 360 degrees minus the degree measure of its central angle. 9.2 --** Define tangents and secants of circles. -- Understand the relationship between tangents and certain radii of circles. -- Understaned the geometry of a radius perpendicular to a chord of a circle. __Secant-__ A line that intersects a circle at two points. __Tangent-__ In a right triangle, the ratio of the length of the side opposite an acute angle to the length of the side adjasent to it. __Point of tangency-__ The point of intersection of a circle or sphere with a tangent line or plane. __Tangent theorem-__ If a line is tangent to a circle, then the line is xxxxxx to a radius of the circle drawn to the point of tangency. __Radius and Chord Theorem-__ A radius that is perpendicular to a chord of a circle xxxxxx the chord. 9.3 --** Define inscribed angle and intercepted arc. -- Develop and use the Inscribed Angle Theorem and its corollaries. __Inscribed angle-__ An angle whose vertex lies on a circle and whose sides are chords of the circle. __Inscribed angle theorem-__ The measure of an angle inscribed in a circle is equal to xxxxx the measure of the intercepted arc. __Right-angle corollary-__ If an inscribed angle a semicircle, then the angle is a right angle. __Arc-intercept corollary-__ If two inscribed angles intercept the same arc, then they have the same measure.
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9.4 -- Define angles formed by secants and tangents of circles. -- Develop and use theorems about measures of arcs intercepted by these angles.
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9.5 Vocab** 9.6 Vocab**
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