Perpendicular and Parallel Lines

 

Using Geometers Sketchpad

 

  1. Draw line a parallel to line b.
  2. Draw line c parallel to line b.
  3. What relationship appears to exist between lines a and c? Verify this relationship by finding the perpendicular distance between the two lines at several different places.
  4. Draw line m parallel to line n.
  5. Draw line p parallel to line n.
  6. What relationship appears to exist between line n and line p? Verify this relationship by finding the perpendicular distance between the two lines at several different places.
  7. Use your answers to Questions 3 and 6 to make a conjecture about two lines that are parallel to the same line.
  8. Draw line x perpendicular to line y.
  9. Draw line z perpendicular to line y.
  10. What relationship appears to exist between lines x and z? Verify this relationship by finding the perpendicular distance between the two lines at several different places.
  11. Draw line r perpendicular to line s.
  12. Draw line t perpendicular to line r.
  13. What relationship appears to exist between line s and line r? Verify this relationship by finding the perpendicular distance between the two lines at several different places.
  14. Use your answers to Questions 10 and 13 to make a conjecture about two lines that are perpendicular to the same line.