Exercises 3.19B • Angles Equal • 1. Prove that the angle between a tangent land a chord drawn from the point of tangency is equal to one half the angle between the radii to the ends of the chord. Excerases 5.7 # 28.1114 4 pq. 121 * Fextbook Crahements Rreanons 1. Crche O won diarneber 1. Buven chard cD nób a diameber 2. Boance from 2. Pel. & dianeber to ArB =8 Czero 3. Draw OE L CD 3. Exactiy 1 1 can be dramen to a Vane from a A. atorde Bhe Vive. of 11 Can be 4. DE >Ø 4 The whdee > ary ts parts 5. Theorem 38 5. AB> CD Gven: Chard AB = chard Cb Stabements Reagens Prong: AD cB %3D 1. Gven 1. Chad AB Chard co havn2. Is Bhe some carcle, equal chards Mbtend equal arcs. 8 the whole is = Phe Sum of ah part 2. A 3. ÁB- AD+pE 4. AD +PB - CB +e 5. ÁD = CB Stabements 1. Cwcle, dianebey AB b CD chad F ; AB I co, EF I| AB 4 Subostitutren 5. Sulbractren Rearens 1. Gvey 2. 2. CD 1EF 3. A drometer 3. Co binects EP Rosens Batements 1. Gwen 1. Crdle O, deaeter AB A,
Exercises 3.19B • Angles Equal • 1. Prove that the angle between a tangent land a chord drawn from the point of tangency is equal to one half the angle between the radii to the ends of the chord. Excerases 5.7 # 28.1114 4 pq. 121 * Fextbook Crahements Rreanons 1. Crche O won diarneber 1. Buven chard cD nób a diameber 2. Boance from 2. Pel. & dianeber to ArB =8 Czero 3. Draw OE L CD 3. Exactiy 1 1 can be dramen to a Vane from a A. atorde Bhe Vive. of 11 Can be 4. DE >Ø 4 The whdee > ary ts parts 5. Theorem 38 5. AB> CD Gven: Chard AB = chard Cb Stabements Reagens Prong: AD cB %3D 1. Gven 1. Chad AB Chard co havn2. Is Bhe some carcle, equal chards Mbtend equal arcs. 8 the whole is = Phe Sum of ah part 2. A 3. ÁB- AD+pE 4. AD +PB - CB +e 5. ÁD = CB Stabements 1. Cwcle, dianebey AB b CD chad F ; AB I co, EF I| AB 4 Subostitutren 5. Sulbractren Rearens 1. Gvey 2. 2. CD 1EF 3. A drometer 3. Co binects EP Rosens Batements 1. Gwen 1. Crdle O, deaeter AB A,
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter6: Circles
Section6.3: Line And Segment Relationships In The Circle
Problem 47E
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