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It’s Friday!!!  September 6, 2013

It’s Friday!!!  September 6, 2013. Daily Check: Naming Arcs & Central Angles.

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It’s Friday!!!  September 6, 2013

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  1. It’s Friday!!! September 6, 2013 Daily Check: Naming Arcs & Central Angles

  2. Megan is using an equilateral triangle as part of a design on a sweatshirt. Each side of the triangle is 12 inches long. Megan is gluing a line of stars from the midpoint of one side of this triangle to the opposite vertex. Approximately how long will the line of stars be? EOCT Review • 13.4 • 10.4 • 8.5 • 5.2 b

  3. CCGPS Geometry 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

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

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

  6. Ex. 1 Find m1. 1 84° m<1 = 42

  7. 202° Ex. 2 Find m1. 1 m<1 = 79

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

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

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

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

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

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

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

  15. Ex. 8 Find m1. 260° 1 m<1 = 80

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