1. Parallel Line Proof

2. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information.

3. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information. 1. Start with what is given, and put it in your proof.

4. 1. Line l is parallel to Line k

5. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information. 1. Start with what is given, and put it in your proof. 1. Line l is parallel to Line k 1. Given

6. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information. 1. Start with what is given, and put it in your proof. 1. Line l is parallel to Line k 2. 1. Given 2. Given

7. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information. 1. Start with what is given, and put it in your proof. 1. Line l is parallel to Line k 2. 3. 1. Given 2. Given 3. Given

8. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information. 1. Start with what is given, and put it in your proof. Then use the rules and definitions you know…. 1. Line l is parallel to Line k 2. 3. 1. Given 2. Given 3. Given

9. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information. 1. Start with what is given, and put it in your proof. 2. If two parallel lines 1. Line l is parallel to Line k 2. 3. 1. Given 2. Given 3. Given

10. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information. 1. Start with what is given, and put it in your proof. 2. If two parallel lines are crossed by a transversal, 1. Line l is parallel to Line k 2. 3. 1. Given 2. Given 3. Given

11. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information. 1. Start with what is given, and put it in your proof. 2. If two parallel lines are crossed by a transversal, then corresponding angles are congruent. 1. Line l is parallel to Line k 2. 3. 4. 1. Given 2. Given 3. Given 4. Corresponding Angle Postulate

12. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information. 1. Start with what is given, and put it in your proof. 2. If two parallel lines are crossed by a transversal, then corresponding angles are congruent. 3. If two same-side interior angles 1. Line l is parallel to Line k 2. 3. 4. 1. Given 2. Given 3. Given 4. Corresponding Angle Postulate

13. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information. 1. Start with what is given, and put it in your proof. 2. When two parallel lines are crossed by a transversal, corresponding angles are congruent. 3. If two same-side interior angles created by a transversal 1. Line l is parallel to Line k 2. 3. 4. 1. Given 2. Given 3. Given 4. Corresponding Angle Postulate

14. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information. 1. Start with what is given, and put it in your proof. 2. When two parallel lines are crossed by a transversal, corresponding angles are congruent. 3. If two same-side interior angles created by a transversal crossing two lines 1. Line l is parallel to Line k 2. 3. 4. 1. Given 2. Given 3. Given 4. Corresponding Angle Postulate

15. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information. 1. Start with what is given, and put it in your proof. 2. When two parallel lines are crossed by a transversal, corresponding angles are congruent. 3. If two same-side interior angles created by a transversal crossing two lines are supplementary, 1. Line l is parallel to Line k 2. 3. 4. 5. Angles 7 & 13 are supplementary 1. Given 2. Given 3. Given 4. Corresponding Angle Postulate 5. 107 + 73 = 180

16. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information. 1. Start with what is given, and put it in your proof. 2. When two parallel lines are crossed by a transversal, corresponding angles are congruent. 3. If two same-side interior angles created by a transversal crossing two lines are supplementary, then the two lines are parallel. 1. Given 2. Given 3. Given 4. Corresponding Angle Postulate 5. 107 + 73 = 180 6. Same-side interior angle theorem converse 1. Line l is parallel to Line k 2. 3. 4. 5. Angles 7 & 13 are supplementary 6. Line m is parallel to Line p

17. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information. 1. Start with what is given, and put it in your proof. 2. When two parallel lines are crossed by a transversal, corresponding angles are congruent. 3. If two same-side interior angles created by a transversal crossing two lines are supplementary, then the two lines are parallel. 1. Given 2. Given 3. Given 4. Corresponding Angle Postulate 5. 107 + 73 = 180 6. Same-side interior angle theorem converse 1. Line l is parallel to Line k 2. 3. 4. 5. Angles 7 & 13 are supplementary 6. Line m is parallel to Line p