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Drill: Thursday, 11/3 Identify each of the following with a word(s).

Drill: Thursday, 11/3 Identify each of the following with a word(s). 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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Drill: Thursday, 11/3 Identify each of the following with a word(s).

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  1. Drill: Thursday, 11/3 • Identify each of the following with a word(s). • 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 • OBJ: SWBAT identify the angles formed by two lines and a transversal.

  2. 3-1 Lines and Angles Holt Geometry Warm Up Lesson Presentation Lesson Quiz Holt McDougal Geometry

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

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

  5. In which of these items can you identify parallel lines, perpendicular lines, parallel planes and perpendicular planes?

  6. Geometry in the Real World

  7. Geometry in the Real World

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

  9. 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

  10. 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

  11. What is the name of the line that intersects these two lines?

  12. 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

  13. 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

  14. F A C B I G D H

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

  16. 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

  17. 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.

  18. 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

  19. 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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