1. Warm Up Identify each of the following terms or objects. 1. points that lie in the same plane 2. two angles whose sum is 180° 3. the intersection of two distinct intersecting lines 4.a pair of adjacent angles whose non-common sides are opposite rays 2.6 Lines and Angles Coplanar points Supplementary angles A point Linear pair of angles

2. Objectives Prove and use theorems about the angles formed by parallel lines and a transversal. 2.6 Lines and Angles

4. Example 1: Give an example of each angle pair. A.corresponding angles B.alternate interior angles C. alternate exterior angles D. same-side interior angles

6. Postulate or TheoremHypothesisConclusion

7. When two parallel lines are cut by a transversal, any pair of angles will either be __________________ or _____________________. congruentsupplementary

8. Example 2: Find m  QRS.

9. Example 3: Find each angle measure. A.m  DCE B.m  ECF

10. Example 4: Find m  ABD.

11. Example 5: Find m  ABD. Finished 1 st amd 3 rd hour

12. 35° Example 6: Find the measure of all numbered angles in the diagram. 1 = 2 = 3 = 4 = 5 = 6 = 7 = 8 = 9 = 10 =

13. 2 3 Example 7: StatementsReasons 1. 2. 3. 4. Given

14. Example 8: Subst. Prop.