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3-1. Lines and Angles. Holt Geometry. Warm Up. Lesson Presentation. Lesson Quiz. Unit 3: Parallel and Perpendicular Lines. Name the different angles formed by a transversal. Classify them into congruent or supplementary. Warm Up Identify each of the following.

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  1. 3-1 Lines and Angles Holt Geometry Warm Up Lesson Presentation Lesson Quiz

  2. Unit 3: Parallel and Perpendicular Lines Name the different angles formed by a transversal. Classify them into congruent or supplementary.

  3. Warm Up • Identify each of the following. • 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 coplanar points supplementary angles point linear pair

  4. Objectives Identify parallel, perpendicular, and skew lines. Identify the angles formed by two lines and a transversal.

  5. Vocabulary parallel lines perpendicular lines skew lines parallel planes transversal corresponding angles alternate interior angles alternate exterior angles same-side interior angles

  6. Helpful Hint Segments or rays are parallel, perpendicular, or skew if the lines that contain them are parallel, perpendicular, or skew.

  7. LM ||QR KNand PQ NS SP Example 1: Identifying Types of Lines and Planes Identify each of the following. A. a pair of parallel segments B. a pair of skew segments C. a pair of perpendicular segments D. a pair of parallel planes plane NMR|| plane KLQ

  8. BF || EJ BFand DE are skew. BF FJ Check It Out! Example 1 Identify each of the following. a. a pair of parallel segments b. a pair of skew segments c. a pair of perpendicular segments d. a pair of parallel planes plane FJH || plane BCD

  9. Example 2: Classifying Pairs of Angles Give an example of each angle pair. A. corresponding angles 1 and 5 B. alternate interior angles 3 and 5 C. alternate exterior angles 1 and 7 D. same-side interior angles 3 and 6

  10. Check It Out! Example 2 Give an example of each angle pair. A. corresponding angles 1 and 3 B. alternate interior angles 2 and 7 C. alternate exterior angles 1 and 8 D. same-side interior angles 2 and 3

  11. Helpful Hint To determine which line is the transversal for a given angle pair, locate the line that connects the vertices.

  12. Example 3: Identifying Angle Pairs and Transversals Identify the transversal and classify each angle pair. A. 1 and 3 transversal l corr. s B. 2 and 6 transversal n alt. int s C. 4 and 6 transversal m alt. ext s

  13. Check It Out! Example 3 Identify the transversal and classify the angle pair 2 and 5 in the diagram. transversal n same-side int. s.

  14. Summary Name the different angles formed by a transversal. Classify them into congruent or supplementary. The 5 different types of angles formed by a transversal are…… The congruent angle pairs are… The supplementary angle pairs are…

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