11-5: Angle Relationships in Circles

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Presentation transcript:

11-5: Angle Relationships in Circles 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

Page 787 Page 787 23-30 all, 39, 40 16) 56° 17) 90° 18) 124° 19) 260° 20) 64.5° 21) 107.5° 22) 135° 23) 57.5° 24) 40° 25) 18° 26) 66° 27) 45° 28) 117° 29) 90° 30) 100° 39) 115°, 30°, 35° 40) 97°, 32°, 51° 2/25/2019 3:44 AM 11-3: Area of a Segment

Segment Relationships in Circles Section 11-5 Geometry PreAP, Revised ©2014 viet.dang@humble.k12.tx.us 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Theorem 1 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Example 1 Solve for x and length of each chord EJ  JF = GJ  JH J 10(7) = 14(x) 70 = 14x 5 = x EF = 10 + 7 = 17 GH = 14 + 5 = 19 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Example 2 Solve for x and length of each chord 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Your Turn Solve for d and length of each chord 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Theorem 2 (Whole)(Outside) 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Example 3 Solve for x and the length of each secant segment 16(7) = (8 + x)(8) 112 = 64 + 8x 48 = 8x 6 = x ED = 7 + 9 = 16 EG = 8 + 6 = 14 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Example 4 Solve for z and the length of each secant segment 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Your Turn Solve for x and the length of each secant segment 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Theorem 3 (Whole) (Outside) of Secant = Square the Tangent 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Theorem 3 (Whole) (Outside) of Secant = Square the Tangent 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Example 5 Solve for x ML  JL = KL2 20(5) = x2 100 = x2 ±10 = x 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Example 6 Solve for 𝒚 DE  DF = DG2 7(7 + y) = 102 49 + 7y = 100 7y = 51 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Your Turn Solve for 𝒂 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Recap 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Recap 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Extra Example 1 Find arc RST. 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Extra Example 2 Solve for 𝒙 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Extra Example 3 Solve for x 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Extra Example 4 Solve for x 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Extra Example 5 Solve for x 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles

11-5: Angle Relationships in Circles Assignment Page 796 12-14 all, 16-21 all, 25 2/25/2019 3:44 AM 11-5: Angle Relationships in Circles