PPT-12 . 5 Inscribed Angles and Triangles

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 . 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. 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. . TOPIC/Objective: . To use angles to tell whether triangles are similar. . Essential Question: . How can you use angles to tell if triangles are similar. . Example:. . The triangles have two pairs of congruent angles.. 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.. Helpful websites. http://www.regentsprep.org/Regents/mathb/1c/preprooftriangles.htm. http://www.mathwarehouse.com/geometry/congruent_triangles/. http://www.cliffsnotes.com/WileyCDA/CliffsReviewTopic/Congruent-Triangles.topicArticleId-18851,articleId-18788.html. 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 . 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). Objectives:. Find the measures of interior and exterior angles of triangles.. Apply theorems about the interior and exterior angles of triangles.. Supplies: Math Notebook. Textbook. Assignment: p. 228 #15-23(skip 17), 29-32. Geometry. 5.1 Angles of Triangles. Essential Question. How are the angle measures of a triangle related?. 5.1 Angles of Triangles. November 21, 2016. 5.1 Angles of Triangles. November 21, 2016. Goals – . Chapter 4. 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.. 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.