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1. Write a proof of the alternate exterior angles theorem

1. Write a proof of the alternate exterior angles theorem. Given: Prove: Note: since we are proving the alternate exterior angles theorem, you are not allowed to use it as a reason. 1. Write a proof of the alternate exterior angles theorem. Given: Prove: .

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1. Write a proof of the alternate exterior angles theorem

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  1. 1. Write a proof of the alternate exterior angles theorem • Given: • Prove: • Note: since we are proving the alternate exterior angles theorem, you are not allowed to use it as a reason

  2. 1. Write a proof of the alternate exterior angles theorem • Given: • Prove:

  3. 2. Fill in the measures of all of the other angles

  4. 2. Fill in the measures of all of the other angles

  5. 3. Solve for all variables. Explain why your equation is true using all necessary theorems and postulates. Corresponding Post:

  6. 4. Solve for all variables. Explain why your equation is true using all necessary theorems and postulates. Consecutive Int. Thm:

  7. 5. Solve for all variables. Explain why your equation is true using all necessary theorems and postulates. Alt. Int. Thm:

  8. 6. Solve for all variables. Explain why your equation is true using all necessary theorems and postulates. Corresponding Post: Linear Pair Postulate:

  9. 7. Solve for all variables. Explain why your equation is true using all necessary theorems and postulates. Linear Pair Postulate Alt. Ext. Thm and Corresponding Post.

  10. 8. Solve for all variables. Explain why your equation is true using all necessary theorems and postulates. Corresponding Post: Corresponding Post and Linear Pair Postulate

  11. 9. Solve for all variables. Explain why your equation is true using all necessary theorems and postulates. Consec. IntThm: Corresponding Post Alt. IntThm and Linear Pair Postulate

  12. 10. Solve for all variables. Explain why your equation is true using all necessary theorems and postulates. Linear Pair Postulate Alt. Int. Thm Corresp. Post Alt. Int. Thm

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