PPT-10.6 Secants, Tangents, and Angle Measures

Author : ellena-manuel | Published Date : 2017-04-02

Secant and Tangent Interior angle ½ intercepted arc Two Secants Interior angle ½ sum of intercepted arcs Two Secants Exterior angle ½ far arc close arc Two

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10.6 Secants, Tangents, and Angle Measures: Transcript

Secant and Tangent Interior angle ½ intercepted arc Two Secants Interior angle ½ sum of intercepted arcs Two Secants Exterior angle ½ far arc close arc Two Tangents Exterior angle ½ far arc close arc. Pg 595. Circle. the set of all points equidistant from a given . point. Center. Congruent Circles. have . the same . radius. “Circle P” or . ○. P. Radius, r. the distance from the center to a point on . RyanBlairUniversityofPennsylvaniaThursdaySeptember27,2011 RyanBlair(UPenn) Math103:Secants,TangentsandDerivatives ThursdaySeptember27,20111/11 Outline 1 Review 2 SecantLinesandTangentLines 3 Derivativ Objectives. State the triangle angle sum theorem and solve for an unknown angle in a triangle. Classify triangles based on measures of angles as well sides. State the triangle exterior angle theorem and solve for an unknown exterior angle of a triangle. Theorem:. . Two chords are congruent IFF they are equidistant from the center.. . A. B. C. D. M. L. P. AD .  BC. IFF. LP .  PM. Ex. 1: . IN . A, PR = 2x + 5 . and QR = 3x –27. Find x.. P. Objectives. State the triangle angle sum theorem and solve for an unknown angle in a triangle. Classify triangles based on measures of angles as well sides. State the triangle exterior angle theorem and solve for an unknown exterior angle of a triangle. Essential Question. How can you describe angle pair relationships and use thee descriptions to find angle measures?. Objectives. Identify complementary and supplementary angles. Identify linear pairs and vertical angles. diameter. chord. radius. Circumference. the distance around the circle. 1. 2. 3. Sum of Central Angles. Central Angle: center of the circle is the vertex and two radii of the circle are its sides. A. Theorem. 6.13. If a tangent. and a chord intersect at a point on the circle, then the measure of each angle formed is one half the measure of its intercepted arc.. http://demonstrations.wolfram.com/TangentChordAngle/. RULE 1. If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other. Explanation for Rule 1:. Intersecting Chords Rule:. . Circles. 6. Chapter. Copyright © Cengage Learning. All rights reserved.. . More Angle Measures in the Circle. 6.2. More Angle Measures in the Circle. We begin this section by considering lines, rays, and segments that are related to the circle. We assume that the lines and circles are coplanar. Warm Up. Write the equation of each item.. 1.. . FG. . x. = –2. y. = 3. 2.. . EH. 3.. . 2(25 –. x. ). = x . 2. 4.. 3. x . 8. = . 4. x. x. = 16. x. = 8. Identify tangents, secants, and chords.. and. . 4.2/1-10. Lessons 4.1 and 4.2 . Triangle Sum Properties & Properties of Isosceles Triangles. -. Classify triangles and find measures of their angles.. - Discover the properties of Isosceles Triangles.. Chapter 10. This Slideshow was developed to accompany the textbook. Larson Geometry. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. 10/28 with practice on 10/29. I . can . name and classify . a polygon given the number of . sides and vertices.. I can find the interior angles of a polygon using the Polygon Angle Sum . Theorem. I can find the exterior angle of a polygon using the Polygon Exterior Angle Sum Theorem.

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