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:

Statements Reasons

1. 1. Given

2. 2. Corresponding Post.

3. 3. Vertical Thm

4. 4. Transitive P. of

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

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

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

Corresponding Post:

4. Solve for all variables. Explain why your equation is true using all necessary theorems and postulates.

Consecutive Int. Thm:

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

Alt. Int. Thm:

6. Solve for all variables. Explain why your equation is true using all necessary theorems and postulates.

Corresponding Post:

Linear Pair Postulate:

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.

𝟔𝟎°

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

𝟕𝟔°

9. Solve for all variables. Explain why your equation is true using all necessary theorems and postulates.

Consec. Int Thm:

Corresponding Post

Alt. Int Thm and Linear Pair Postulate

𝟑𝟕°

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