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Understanding Lines, Angles & Planes: Lesson Presentation for Geometry Students

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sean-morrow
16 diapositives · 257 Views · Nov 18, 2014

Learn how to identify parallel, perpendicular, and skew lines, angles formed by two lines & a transversal. Practice classifying various angle pairs and line segments using interactive examples.

#understanding lines, angles & planes: lesson presentation for geometry students #understanding lines, angles & planes: lesson presentation for geometry students ppt #powerpoint #presentation
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  1. 3-1 Lines and Angles Holt Geometry Are You Ready? Lesson Presentation Lesson Quiz

  2. 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

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

  6. 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

  7. BF || EJ BFand DE are skew. BF FJ Example 2: Identifying Parallel, Perpendicular, and Skew 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

  8. Example 3: 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

  9. Example 4 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

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

  11. Example 5: 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

  12. Example 6 Identify the transversal and classify the angle pair 2 and 5 in the diagram. transversal n same-side int. s.

  13. 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

  14. 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