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 . 1. 1.3.2: Constructing Squares Inscribed in Circles. Antonia is making four . corner tables. , one for each of her three sisters and herself. She has one large square piece of wood that she plans to cut into four tabletops. She begins by marking the needed cuts for the tabletops on the square piece of wood. . 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.. Central Angles. Central Angle. (of a circle). Central Angle. (of a circle). NOT A. Central Angle. (of a circle). A . central angle. is an angle whose vertex is the CENTER of the circle. CENTRAL ANGLES AND ARCS. 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. Hubarth. Geometry. 10.7 Measure . of an Inscribed Angle. .. C. A. B. D. Ex 1 Use Inscribed Angles. a.. m. . T.  . mQR. b.. Find the indicated measure in. . P. .. M T = . mRS. =. . Angles. Geometry. Objectives/Assignment. Use . inscribed angles to solve problems.. Use properties of inscribed polygons. .. Review. Definitions. An . inscribed angle. is an angle whose vertex is on a circle and whose sides contain chords of the circle. . Identifying, Describing, and Applying Theorems about Circles. Understand and apply theorems about circles. G-C.2, Identify and describe relationships among inscribed angles, radii, and chords. . Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.. 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. thm. 12.10 from pgs 679 and 680. 12.2/12.3: . Chords and . arcs & Inscribed Angles. LEQ: WHAT ARE THE THEOREMS INVOLVED AND CALCULATIONS WITH CHORDS AND ARCS?. Theorem sheet. Thm. . 12.4:. 1.) Congruent central angles have congruent chords (vice versa). 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). 1. 2.. Now put it all together to solve for the missing angle.. Unit 6 – Day 3. Inscribed and Circumscribed. Today’s Objectives. Students will use properties of Central angles and Tangent lines to solve for missing parts.