PPT-10.6 Secants, Tangents, and Angle Measures

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. Holt Geometry. Warm Up. Lesson Presentation. Lesson Quiz. Warm Up. Construct each of the following.. 1.. . A perpendicular bisector.. 2.. An angle bisector.. 3.. Find the midpoint and slope of the segment . 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. 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. Vertical angles. Supplementary. Complimentary. Adjacent. Types of Angle PAIRS. Vertical angles. Supplementary. Complimentary. Adjacent. Why are the numbers the same COLOR?. Identify Angle Pairs. True or False?. 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:. Bisecting a Segment. The . midpoint. of a segment is the point that divides, or . bisects. , . the segment into two congruent segments.. A . segment bisector. is a segment, ray, line, or plane that intersects a segment . Swaroop K. Behera. 1. , . Shvetashwa. Suri. 1. Pradeep Rohatgi. 1. , Nathan Salowitz. 2. 1. Department of Material Science and Engineering, UW-Milwaukee . 2. Department of Mechanical Engineering , UW-Milwaukee. 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.. Qualitative . R. esearch. First review….. Presentations. Eye tracking--Chelsea. fMRI—Alivia. Simpler physio measures. When would you want to use these?. Electromyography . Measures of arousal. Galvanic skin response. 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.. (The Greeks doing trig in fancy dress.). Intro to Trigonometry. For those later influenced by Greek mathematics, trigonometry deals with periodic functions, whose graphs are usually pretty wavy, and whose applications far exceed the polygonal constraints of triangles: periodic motion, sound, and other interesting stuff.. 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. Zachary Kellar | Dr. Brandon Koch* | Dr. Anna . Panorska. University of Nevada, Reno | Department of Mathematics and Statistics. *School of Community Health Sciences. Baseball Introduction. American sport between two teams where one team pitches a baseball to an opponent, who attempts to hit the baseball into the field of play.