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Chapter 3

Chapter 3. 3-1 lines and angles. Problem of the day. Objectives. Identify parallel, perpendicular, and skew lines. Identify the angles formed by two lines and a transversal. Lines. What kind of different lines you know? What are parallel lines ?

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Chapter 3

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  1. Chapter 3 3-1 lines and angles

  2. Problem of the day

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

  4. Lines • What kind of different lines you know? • What are parallel lines ? • Solution: Lines that go next to each other and they will never intersect . • Examples are? What are perpendicular lines ? Solution: Lines that intersect and form a 90 degree angle. Example are?

  5. Lines • What are skew lines? • Solution: A re lines that are not parallel and do not intersect. • Examples?

  6. Example#1 • Identify each of the following. A. a pair of parallel segments LM ||QR B. a pair of skew segments KNand PQ C. a pair of perpendicular segments NS SP a pair of parallel planes plane NMR|| plane KLQ

  7. Student guided practice • Identify each of the following. a pair of parallel segments BF || EJ a pair of skew segments BFand DE are skew. a pair of perpendicular segments BF FJ

  8. Example#2 Give an example of each angle pair. corresponding angles 1 and 5 alternate interior angles 3 and 5 C. alternate exterior angles 1 and 7 same-side interior angles 3 and 6

  9. Student guided practice • Give an example of each angle pair. corresponding angles 1 and 3 alternate interior angles 2 and 7 alternate exterior angles 1 and 8

  10. Transversal lines • What is a transversal line? • Solution: Is a line that intersects two coplanar lines at two different points • How can you identify a transversal line? • Solution: To determine which line is the transversal for a given angle pair, locate the line that connects the vertices.

  11. Example#3 • 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. Student guided practice • Identify the transversal and classify the angle pair 2 and 5 in the diagram.

  13. Homework!! • Go to page 148 in your book and di problems 2-12

  14. Closure • Today we learn about lines and the different pair of angles in a transversal • Next class we are going to see chapter 3-2

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