PPT-Inscribed Angles

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. ‘ROUND ABOUT. INSCRIBED AND CIRCUMSCRIBED FIGURES. We already know a bit about . _____________.. You know how to find the . _____________.. You know how to find the . _____________. . Using . these, we found the . 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.. Construction methods can also be used to construct figures in a circle. One figure that can . be inscribed . in a circle is a hexagon. Hexagons are polygons with six sides.. 1. 1.3.3: Constructing Regular Hexagons Inscribed in Circles. Angles are ACUTE angles Angles equal to 90 are RIGHT angles Angle are OBTUSE angles Angles equal to 180 Angles more than 180 are REFLEX angles 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. Two Angles are Complementary if . and only if they . add up to 90 degrees (a Right Angle).. Definition of Complementary Angles. They don't have to be next to each other, just so long as the total is 90 degrees.. 2.1. Vocabulary Words. inscribed. grouchy. resemblance. postmark. enthralled. regulation. embarrassment. pennant. When something is required by someone in authority.. inscribed. grouchy. resemblance. 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. . 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. Protractor: . What do you notice? . Task One: . Look at the protractor. Write down everything that you notice about the protractor. Try and come up with at least . 10 facts. Think about . number patterns . 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.