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CCGPS Geometry Day 23 (10-15-13)

CCGPS Geometry Day 23 (10-15-13). UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MMC9-12.G.C.1-5,G.GMD.1-3 Today’s Question: What other angle relationships do we know for circles? Standard: MMC9-12.G.C.2. Vertex at CENTER. ANGLE FORMULAS.

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CCGPS Geometry Day 23 (10-15-13)

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  1. CCGPS GeometryDay 23 (10-15-13) UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MMC9-12.G.C.1-5,G.GMD.1-3 Today’s Question: What other angle relationships do we know for circles? Standard: MMC9-12.G.C.2

  2. Vertex at CENTER ANGLE FORMULAS Vertex OUTSIDE circle Vertex ON circle Vertex INSIDE circle  Arc 1  small large 1 small large Arc  1 small Arc large 1 Arc Arc

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

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

  5. Ex. 1 Find m1. 1 84° m1 = 42

  6. 202° Ex. 2 Find m1. 1 m1 = 79

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

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

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

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

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

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

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

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

  15. HomeworkPractice Worksheet

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