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.

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Presentation transcript:

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

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

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

Postulate or TheoremHypothesisConclusion

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

Example 2: Find m  QRS.

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

Example 4: Find m  ABD.

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

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

2 3 Example 7: StatementsReasons Given

Example 8: Subst. Prop.

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