PPT-9-5 Inscribed Angles in Circles

Geometry Unit 9 Inscribed Angles in Circles Content Objective Students will be able to identify inscribed angles and their intercepted arcs in circles Language Objective Students will be able to . 4-B. . Exact Area. . . . Use geometric shapes such as rectangles, . circles, trapezoids, triangles etc…. . rectangle. triangle. parallelogram. Approximate Area . . . Midpoint. 3 . Inscribed Angles. Objectives:. To . find the measure of an inscribed angle. Inscribed Angles . & . Intercepted Arcs :. Theorem 11 – . 9. Inscribed Angle Theorem. The measure of an inscribed angle is half the measure of its intercepted arc.. The ability to copy and bisect angles and segments, as well as construct perpendicular and . parallel lines. , allows you to construct a variety of geometric figures, including triangles, squares, . and hexagons. What will we learn. Parts of a circle including radius, diameter, arcs, angles. How to find arc measures . How to find angle measures. Parts of a Circle. A. B. C. D. Radius. - segment from center . pt. 14. 2. . 7. 50. 8. 10. a) CE. b) DE. . c) angle CEB. . d) angle DEA. The Center of the circle. 6. . 5.4. . 8.9. 12.5. 9.9. 20.8. 108. 90. 123.9 or 124. a) PL. b) PM. c) All radii of a circle are congruent. Triangles are not the only figures that can be inscribed in a circle. It is also possible to inscribe . other figures. , such as squares. The process for inscribing a square in a circle uses previously learned skills. 2.1. Vocabulary Words. inscribed. grouchy. resemblance. postmark. enthralled. regulation. embarrassment. pennant. When something is required by someone in authority.. inscribed. grouchy. resemblance. P. (. n. ) be the perimeter of an . n. -. gon. inscribed in a unit . circle. . (a). . Explain. , intuitively, why . P. (. n. ) approaches 2. π. as . n. → . ∞. .. 41. Let . P. (. n. ) be the perimeter of an . Holt Geometry. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Geometry. 30.4. Find the measure of an inscribed angle. . Use inscribed angles and their properties to solve problems.. Objectives. Wheel . of Formulas. Central Angle. Vertex ON circle. Vertex INSIDE circle. Vertex OUTSIDE circle. Arc Angle . Formulas. P. A. B. C. Case I:. . Vertex is . AT. the center. Case II:. . Vertex is . ON. Recall: A . Central Angle . has the same measure as the arc in intercepts. .. .. 100°. 100°. An. inscribed angle . is . not. equal to the arc it intercepts. .. B. A. C. Inscribed . Angle. . - An angle in a circle whose . 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.. Unit Outline. Translations, Dilations and Similarity (1 day). 12-5 . Circles in the Coordinate . Plane (2 days). Constructing Squares, Hexagons, and Triangles (1 day). 10-6 Circles and Arcs (1 day). 10-7 Areas of Circles and Sectors (1 day). Learning Target: . I can review properties of angles and segments in circles to determine their measure and length.. Agenda:. Do Now. Embedded Assessment Self-Assess. Circles Properties Review. Independent Practice.