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11.2 Arcs and Chords

11.2 Arcs and Chords. Geometry. Definitions:. Central Angle: an angle whose vertex is the center of a circle Arc- an unbroken part of a circle consisting of two points called endpoints and all of the points between them. Arcs and Their Measures. Helpful Hints…. Writing Math.

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11.2 Arcs and Chords

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  1. 11.2 Arcs and Chords Geometry

  2. Definitions: • Central Angle: an angle whose vertex is the center of a circle • Arc- an unbroken part of a circle consisting of two points called endpoints and all of the points between them

  3. Arcs and Their Measures

  4. Helpful Hints… Writing Math Minor arcs may be named by two points. Major arcs and semicircles must be named by three points.

  5. Definitions: • Adjacent Arcs- arcs of the same circle that intersect at exactly one point. • RS and ST are adjacent arcs.

  6. Arc Addition Postulate

  7. Examples: • The circle graph shows the types of grass planted in the yards of one neighborhood. Find mKLF.

  8. Example: • Use the graph to find each of the following. • mFMC • mAHB

  9. The circle graph shows the types of cuisine available in a city. Find mTRQ.

  10. Examples: • Find mBD.

  11. Examples: • Find each measure. • mJKL • mLJN

  12. Definition: • Congurent Arcs: two arcs that have the same measure.

  13. Theorems:

  14. Examples: • TV WS. Find mWS.

  15. Example: • Find each measure. • mNGH • HL

  16. Theorems:

  17. Example: • A B, and CD EF. Find mCD.

  18. Example: • C  J, andmGCD  mNJM. Find NM.

  19. Example: • PT bisects RPS. Find RT.

  20. Examples: • Find NP.

  21. Example: • Find QR to the nearest tenth.

  22. Example: • T U, and AC = 47.2. Find PL to the nearest tenth.

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