Statements Reasons
1. Angle 1 is above line l and to the left of the transversal. Given
2. Angle 2 is above line l and to the right of the transversal. Given
3. Angle 3 is below line l and to the left of the transversal. Given
4. Angle 4 is below line l and to the right of the transversal. Given
5. Angle 5 is above line m and to the left of the transversal. Given
6. Angle 6 is above line m and to the right of the transversal. Given
7. Angle 7 is below line m and to the left of the transversal. Given
8. Angle 8 is below line m and to the right of the transversal. Given
9. ∠2 and ∠5 are supplementary. Given
10. Angle 2 and angle 5 are on the same line l. Definition of supplementary angles
11. Line l is above line m. If two angles and their supplements form a straight line, then the lines containing those angles are parallel (Alternatively, this can be proven by contradiction using the angles on the same line theorem).
12. Line l is above line m. Conclusion (line 11).
Complete the two-column proof. Given: ∠2 and ∠5 are supplementary Prove: Line l is above line m. Angle 1 is above line l and to the left of the transversal. Angle 2 is above line l and to the right of the transversal. Angle 3 is below line l and to the left of the transversal. Angle 4 is below line l and to the right of the transversal. Angle 5 is above line m and to the left of the transversal. Angle 6 is above line m and to the right of the transversal. Angle 7 is below line m and to the left of the transversal. Angle 8 is below line m and to the right of the transversal. Statements Reasons 1. _____________ 1. _____________ 2. ∠ 3 ∠ 2 2. _____________ 3. ∠ 3 and ∠ 5 are supplementary 3. _____________ 4. _____________ 4. _____________(6 points)
1 answer
1 answer