3.1 Lines and Angles

1. 3.1 Lines and Angles Relationships between lines Identify angles formed by a transversal

2. Lines that do not touch Parallel lines are coplanar lines that do not intersect Skew lines are noncoplanar lines that do not intersect.

3. Parallel line are shown with arrows in the line as well as the end

4. Parallel planes The floor and the ceiling are parallel planes. Hopefully they will not touch

5. Postulate 13 (can be proven with an indirect proof) If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.

6. Postulate 13 (can be proven with an indirect proof) If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.

7. Postulate 14 If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.

8. Postulate 14 If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.

9. Transversal line A transversal line is a line that cuts through 2 or more coplanar lines. 1 2 3 4 5 6 7 8

10. Transversal line A transversal line makes groups of angles. Corresponding Angles 1 2 3 4 5 6 7 8

11. Transversal line A transversal line makes groups of angles. Alternate Exterior Angles 1 2 3 4 5 6 7 8

12. Transversal line A transversal line makes groups of angles. Same Side Interior Angles 1 2 3 4 5 6 7 8

13. Homework Page 132 – 134 # 10 – 26, 37, 41, 42 - 46