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Transcript
Other Angles Lesson 9.6 Geometry Honors Objective: Student will be able to solve problems involving angles formed by chords, secants, and tangents. Page 357 Lesson Focus This lesson studies the relationships among the arcs of a circle and the angles formed by chords, secants, and tangents. Theorem 9-9 The measure of an angle formed by two chords that intersect inside a circle is equal to half the sum of the measures of the intercepted arcs. A mAOD 1 » m» AD mBC 2 D O B C Theorem 9-10 The measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside a circle is equal to half the difference of the measures of the intercepted arcs. Theorem 9-10: Case 1 Two secants 1 » » mA mED mBC 2 E B A C D Theorem 9-10: Case 2 Two tangents B mA 1 ¼ » mBDC mBC 2 D A C Theorem 9-10: Case 3 a secant and a tangent mA 1 ¼ » mBED mBC 2 E B A C D InClass Exercises Problem Set Classroom Exercises, p. 358: # 1 – 9. Written Exercises 9.6, p.359: # 1 – 24 Homework Exercises Handout 9-6