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Seat/Partner

Seat/Partner. Name Who can you help you learn the best in class? Who can you NOT work with in class? Where do you want to sit?. C. C. Symbol:. Unit 3A Circles. Assignment on Blog. Math II. UNIT QUESTION: What special properties are found with the parts of a circle?

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Seat/Partner

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  1. Seat/Partner • Name • Who can you help you learn the best in class? • Who can you NOT work with in class? • Where do you want to sit?

  2. C C Symbol:

  3. Unit 3A Circles

  4. Assignment on Blog

  5. Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How are central angles different from inscribed angles? Standard: MM2G3.b

  6. Case I:Vertex is AT the center A P C B

  7. EDF Semicircle: An Arc that equals 180° To name: use 3 letters E D P F

  8. Central Angle : vertex is at the center of the circle ACB AB A Major Arc Minor Arc More than 180° Less than 180° P C B

  9. measure of an arc = measure of central angle m AB m ACB m AE A E 96 Q = 96° B C = 264° = 2x + 14 Find x. x = 35

  10. Case II:Vertex is ON circle ANGLE ARC ARC ANGLE

  11. 160 The arc is twice as big as the angle!! 80

  12. Find the value of x and y 120 x y

  13. J K Q S M Examples 1. If m JK = 80 and JMK = 2x – 4, find x. x = 22 2. If mMKS = 56, find m MS. 112 

  14. Find the measure of DOG and DIG D 72˚ G If two inscribed angles intercept the same arc, then they are congruent. O I

  15. Q D 3 J T 4 U Example 3 In J, m3 = 5x and m 4 = 2x + 9. Find the value of x. x = 3

  16. Example 4 In K, GH is a diameter and mGNH = 4x – 14. Find the value of x. 4x – 14 = 90 H K x = 26 N G Bonus: What type of triangle is this? Why?

  17. Classwork • Workbook Page 204 #12-24 • Workbook Page 218 & 219

  18. a quadrilateral inscribed in a circle: opposite angles are supplementary. B A D C

  19. Example 5 Find y and z. z 110 110 + y =180 y y = 70 85 z + 85 = 180 z = 95

  20. Homework: • Page 193 #9-18, 21-27 • Page 207 #1-18

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