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2.8 Vertical Angle Theorem

2.8 Vertical Angle Theorem. Opposite Rays. Def: Opposite rays are two collinear rays that have a common endpoint and extend in opposite directions. C. A. A. B. B. but not. C. Vertical Angles.

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2.8 Vertical Angle Theorem

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  1. 2.8 Vertical Angle Theorem

  2. Opposite Rays • Def: Opposite rays are two collinear rays that have a common endpoint and extend in opposite directions C A A B B but not C

  3. Vertical Angles • Def: Two angles are vertical angles if the rays forming the sides of one and the rays forming the sides of the other are opposite rays ∠1 and ∠3 are vertical angles ∠2 and ∠4 are vertical angles 1 2 4 3

  4. Example 1 • Given: m∠1=37˚ • Find: m∠2, m∠3, m∠4 1 2 4 3

  5. Example 2 • Given: ∠4≅∠6 • Prove: ∠5≅∠6 6 5 4

  6. Example 3 • Given: ∠V≅∠YRX, ∠Y≅∠TRV • Prove: ∠V≅∠Y T V R Y X

  7. Example 4 • Is this possible? (-10x)˚ (-8x-10)˚

  8. Assignment • p. 102 2-7, 12

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