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Tuesday, November 5 th

Tuesday, November 5 th. Warm Up. Find 1. mKLM 2. mMNJ. Vocab Review. Fill in the Blank. A secant line cross the circle _________times. Tangent line touches the circle _________. A chord has both __________ on the circle The diameter is ________the length of the radius. Central

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Tuesday, November 5 th

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  1. Tuesday, November 5th Warm Up Find 1. mKLM 2. mMNJ

  2. Vocab Review

  3. Fill in the Blank • A secant line cross the circle _________times. • Tangent line touches the circle _________. • A chord has both __________ on the circle • The diameter is ________the length of the radius

  4. Central Angles HW ANSWERS

  5. Inscribed Angles

  6. Case I:Central Angle: Vertex isATthe center A  P B

  7. Case II:Inscribed Angle: Vertex is ON circle  ANGLE ARC ARC This means division!!  ANGLE

  8. 160 The arc is twice as big as the angle!! 80

  9. Find the value of x and y 120  x  y 

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

  11. If all the vertices of a polygon touch the edge of the circle, the polygon is INSCRIBED and the circle is CIRCUMSCRIBED.

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

  13. 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

  14. If a right triangle is inscribed in a circle then the hypotenuse is the diameter of the circle. diameter

  15. 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?

  16. Classwork Work together on 1-8

  17. Homework Pick Evens or Odds

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