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Warm Up Identify each of the following terms or objects. 1. points that lie in the same plane

2.6 Lines and Angles. 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 a pair of adjacent angles whose non-common sides are opposite rays.

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Warm Up Identify each of the following terms or objects. 1. points that lie in the same plane

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  1. 2.6 Lines and Angles 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 • a pair of adjacent angles whose non-common sides are • opposite rays Coplanar points Supplementary angles A point Linear pair of angles

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

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

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

  5. Example 2: Find mQRS.

  6. Example 3: • Find each angle measure. • mDCE • mECF

  7. Example 4: Find mABD.

  8. Example 5: Find mABD. Finished 1stamd 3rd hour

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

  10. Example 7: Proof of the Alternate Exterior Angles Theorem Given: Prove: 2 3 Given Corresp. Post Vert. Thm. Trans. Prop

  11. Example 8: Corresp. Post. Subst. Prop.

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