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Session 25 Warm-up

Name a segment tangent to circle A. What is the If BD = 36, find BC. If AC = 10 and BD = 24, find AB. If AD = 7 and BD = 24, find BE. Session 25 Warm-up. D. B. E. A. C. Time to make a Wheel of Formulas. Cut out this part. Central Angle. Vertex OUTSIDE circle. Vertex ON circle.

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Session 25 Warm-up

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  1. Name a segment tangent to circle A. • What is the • If BD = 36, find BC. • If AC = 10 and BD = 24, find AB. • If AD = 7 and BD = 24, find BE. Session 25 Warm-up D B E A C

  2. Time to make a Wheel of Formulas

  3. Cut out this part.

  4. Central Angle Vertex OUTSIDE circle Vertex ON circle Vertex INSIDE circle Write your name here.

  5. Secant Anglesand Secant – Tangent Angles

  6. A secant line intersects the circle at exactly two points. SECANT sounds like second

  7. Case I:Vertex is ON the circle ANGLE ARC ARC ANGLE

  8. Ex. 1 Find m1. A B 1 124° C m1 = 62

  9. Ex. 2 Find m1. 1 84° m1 = 42

  10. 108° Ex. 3 Find m1. 1 m1 = 126

  11. Case II:Vertex is inside the circle A ARC B ANGLE D ARC C Looks like a PLUS sign!

  12. Ex. 4 Find m1. 93° A B 1 D C 113° m1 = 103

  13. Ex. 5 Find mQT. mQT = 100 N Q 84 92 M T

  14. Case III:Vertex is outside the circle C ANGLE small ARC A D LARGE ARC B LARGE ARC LARGE ARC small ARC ANGLE small ARC ANGLE

  15. Ex. 6 Find m1. 1 15° A D 65° B m1 = 25

  16. Ex. 7 Find mAB. mQT = 16 A 27° 70° B

  17. Ex. 8 Find m1. 260° 1 m1 = 80

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