Prove Lines Parallel You can prove that lines are parallel by using postulates and theorems about pairs of angles. Example: Given: Prove: Proof: Statements Reasons 1. 1. Given 2. 2. Transitive Property of 3. 3. If alt. int. angles are then the lines are ∥. Exercises 1. Complete the proof. Given: Prove: m, r s ℓ ∥ ∥ Proof: Statements Reasons 1. 1. ___________________________________ 2. 2. ___________________________________ 3. 3. ___________________________________ 4. r s ∥ 4. ___________________________________ 5. ____________________________ 5. Given 6. ____________________________ 6. If corr are then lines ∥. s
Prove Lines Parallel You can prove that lines are parallel by using postulates and theorems about pairs of angles. Example: Given: Prove: Proof: Statements Reasons 1. 2. 3. 1. Given 2. Transitive Property of 3. If alt. int. angles are then the lines are ∥. Exercises 1. Complete the proof. Given: Prove: ℓ ∥ m, r ∥ s Proof: Statements Reasons 1. 2. 3. 4. r ∥ s 5. ____________________________ 6. ____________________________ 1. ___________________________________ 2. ___________________________________ 3. ___________________________________ 4. ___________________________________ 5. Given 6. If corr s are then lines ∥.