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Lines and Angles

Lines and Angles. 3.1-3.2. Outcomes. I will be able to recognize parallel lines, parallel planes, skew lines, and perpendicular lines  I will be able to identify special angles formed by a transversal. Types of Line Relationships.

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Lines and Angles

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  1. Lines and Angles 3.1-3.2

  2. Outcomes I will be able to recognize parallel lines, parallel planes, skew lines, and perpendicular lines  I will be able to identify special angles formed by a transversal

  3. Types of Line Relationships Two lines are parallel lines if they are coplanar and do not intersect. Examples in the room?

  4. PARALLEL • Are there other things that can be parallel? • Points? • Rays? • Segments? • Planes? • Universes?

  5. Line Relationships 6. MN and KG 7. KL , JM and NM

  6. Types of Line Relationships Two lines are parallel lines if they are coplanar and do not intersect. Two lines are skew lines if they are not coplanar and do not intersect. Examples in the room?

  7. Line Relationships 6. MN and KG 7. KL , JM and NM 8. LM , KL, NM and JM

  8. Types of Line Relationships Two lines are parallel lines if they are coplanar and do not intersect. Two lines are skew lines if they are not coplanar and do not intersect. A transversal is a line that intersects two or more coplanar lines at different points. Examples in the room?

  9. Lines Transversal 2 1 4 3 5 6 7 8

  10. Line Relationship Postulates

  11. What do the following words mean? • Exterior • Interior • Alternate • Consecutive • Corresponding

  12. Lines Where is the interior in this picture? The exterior? Interior

  13. Lines Where is the interiorin this picture? The exterior? Exterior Exterior

  14. Lines What are the alternate sides? Opposite Sides

  15. Lines Alternate interior angles? 2 1 4 3 5 6 7 8

  16. Lines Alternate interior angles? ‹3 and ‹6 ‹4 and ‹5 2 1 4 3 5 6 7 8

  17. Lines Alternate exterior angles? 2 1 4 3 5 6 7 8

  18. Lines Alternate exterior angles? ‹8 and ‹1 ‹7 and ‹2 2 1 4 3 5 6 7 8

  19. Lines Consecutive angles? 2 Same Side 1 4 3 5 Same Side 6 7 8

  20. Lines Consecutive interior angles? 2 1 4 3 5 6 7 8

  21. Lines Consecutive interior angles? ‹6 and ‹4 ‹5 and ‹3 2 1 4 3 5 6 7 8

  22. Lines Corresponding angles? 2 1 4 3 5 6 7 8

  23. Lines Corresponding angles? Have the same position (upper right) ‹6 and ‹2 2 1 4 3 5 6 7 8

  24. Lines Other corresponding angles? 2 1 4 3 5 6 7 8

  25. Lines Other corresponding angles? ‹6 and ‹2 ‹1 and ‹5 ‹7 and ‹3 ‹8 and ‹4 2 1 4 3 5 6 7 8

  26. Lines Other corresponding angles? ‹6 and ‹2 ‹1 and ‹5 ‹7 and ‹3 ‹8 and ‹4 2 1 4 3 5 6 7 8

  27. alternate interior corresponding consecutive interior alternate exterior

  28. 11. Alternate interior 12. corresponding 13. alternate exterior 14. consecutive interior 15. alternate interior 16. corresponding

  29. Corresponding angles? 1 2 Alternate interior angles? 3 4 5 6 7 8

  30. Review Corresponding Alternate interior Consecutive interior Corresponding Alternate exterior Alternate interior

  31. Symbols for parallel and perpendicular • Parallel • AB CD • Perpendicular • AB CD

  32. Parallel

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