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Understanding Central and Inscribed Angles: Daily Check Summary

This daily check focuses on central and inscribed angles, providing exercises that illustrate various cases based on the angles' vertices' positions relative to the circle. Students will work through examples covering angles at the center, on the circle, inside the circle, and outside the circle. Engaging with the material, students are encouraged to use their own half sheet of paper to solve problems and demonstrate their understanding of arcs and angles. This session includes practice exercises and a review of key concepts needed for mastering circle geometry.

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Understanding Central and Inscribed Angles: Daily Check Summary

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  1. TuesdaySeptember 25th

  2. Daily Check:Central Angles & Inscribed Angles You need your own half sheet of paper!

  3. Daily Check A B 70◦ F E C H G J D 30◦ M K 20◦ L

  4. Review!

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

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

  7. Ex. 1 Find m1. 1 84° m1 = 42

  8. 202° Ex. 2 Find m1. 1 m1 = 79

  9. Case III:Vertex is INSIDE circle A ARC B ANGLE D ARC C Looks like a PLUS sign!

  10. Ex. 3 Find m1. 93° A B 1 D C 113° m1 = 103

  11. Ex. 4 Find mQT. mQT = 100 N Q 84 92 M T

  12. Ex. 5 Find x. 93 xº 45 89 x = 89

  13. New!

  14. Case IV:Vertex is OUTSIDE circle C ANGLE small ARC A D LARGE ARC B

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

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

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

  18. Workbook Pages 225 & 226

  19. Daily Check:Vertex Inside & Vertex Outside You need your own half sheet of paper 

  20. TextbookPage 214 #1-15 & 19

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