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Objectives: SWBAT Identify parallel, perpendicular, and skew lines.

Chapter 3.1 Lines and Angles. Objectives: SWBAT Identify parallel, perpendicular, and skew lines. Identify the angles formed by two lines and a transversal . Note: Thank you to Ms. Contreras for this P owerpoint. Definitions.

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Objectives: SWBAT Identify parallel, perpendicular, and skew lines.

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  1. Chapter 3.1 Lines and Angles Objectives: SWBAT Identify parallel, perpendicular, and skew lines. Identify the angles formed by two lines and a transversal. Note: Thank you to Ms. Contreras for this Powerpoint.

  2. Definitions Transversal – a line that intersects two coplanar lines at two distinct points Transversal

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

  4. 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

  5. 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

  6. 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

  7. 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

  8. Helpful Hint: To determine which line is the transversal for a given angle pair, locate the line that connects the vertices. 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 nalt. int s C. 4 and 6 transversal malt. ext s

  9. 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.

  10. EH || FG BFand EH CG GH Lesson Quiz: Part I Identify each of the following. 1. a pair of parallel segments 2. a pair of skew segments 3. a pair of perpendicular segments 4. a pair of parallel planes ABCand EFG

  11. Lesson Quiz: Part II Identify each of the following. 5. one pairalternate interior angles EHG and HGK 6. One pair corresponding angles EHG and FGJ 7. one pairalternate exterior angles IHE and JGK 8. one pairsame-side interior angles EHG and HGF

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