Parallel Lines Proof Worksheet

Parallel Lines Proof Worksheet

1.

Statements / Reasons
1) Given l // m; / 1) Given
2) / 2) Alternate Interior Angles Theorem
3) / 3) Transitive Property of Angle Congruence

2.

Statements / Reasons
1) Given l // m; / 1) Given
2) / 2) Corresponding Angles Postulate
3) / 3) Transitive Property of Angle Congruence

3.

Statements / Reasons
1) j // k; k // l / 1) Given
2) / 2) Corresponding Angles Postulate
3) / 3) Corresponding Angles Postulate
4) / 4) Transitive Property of Angle Congruence

4.

Statements / Reasons
1 j // k; k // l / 1) Given
2) / 2) Corresponding Angles Postulate
3) / 3) Alternate Interior Angles Theorem
4) / 4) Transitive Property of Angle Congruence

5.

Statements / Reasons
1) l // n / 1) Given
2) are supplementary / 2) Consecutive Interior Angles Theorem
3) / 3) Definition of Supplementary Angles

6.

Statements / Reasons
1) l // n / 1) Given
2) are supplementary / 2) Consecutive Interior Angles Theorem
3) / 3) Definition of Supplementary Angles
4)
/ 4) Vertical Angles Theorem
5)
/ 5) Definition of Congruent Angles
6) / 6) Substitution

7.

Statements / Reasons
1) / 1) Given
2) / 2) Substitution
3) / 3) Definition of Supplementary Angles
4) l // n / 4) Corresponding Angles Converse Postulate

8.

Statements / Reasons
1) / 1) Given
2) / 2) Addition Property of Equality
3) are supplementary / 3) Definition of Supplementary Angles
4) l // n / 4) Consecutive Interior Angles Converse Theorem

9.

Statements / Reasons
1) / 1) Given
2) l // n / 2) Alternate Exterior Angles Converse Theorem

10.

Statements / Reasons
1) is supplementary to / 1) Given
2) and are a linear pair / 2) Given from picture
3) are supplementary / 3) Linear Pair Postulate
4) / 4) Congruent Supplements Theorem
5) l // n / 5) Corresponding Angles Converse Postulate

11.

Statements / Reasons
1) / 1) Given
2) are supplementary / 2) Definition of Supplementary Angles
3) are supplementary / 3) Linear Pair Postulate
4) / 4) Consecutive Interior Angles Theorem
5) / 5) Congruent Supplements Theorem
6) / 6) Corresponding Angles Converse Postulate

12.

Statements / Reasons
1) / 1) Given
2) / 2) Corresponding Angles Postulate
3) / 3) Transitive Property of Angle Congruence
4) / 4) Corresponding Angles Converse Postulate