Parallel Lines and Planes

1. Parthenon Athens Dallas City Hall I.M. Pei Havasu Falls I.M. Pei Parallel Lines and Planes 3.1 Classroom Exercises

2. 3.1 Classroom Exercises 1

3. 1 This is a bad diagram because corresponding angles are only important when you have parallel lines. Let’s adjust the picture.

4. 1a Name 4 pairs of corresponding angles. Upper left hand corners. Upper right hand corners. Lower left hand corners. Think of same step on a ladder. Lower right hand corners.

5. 1b Name 2 pairs of Alternate interior angles. Note the Z points the way.

6. 1b Name 2 pairs of Alternate interior angles. Note the Z points the way. Noted it is dyslexic.

7. 1c Name 2 pairs of same-side interior angles.

8. 1c Name 2 pairs of same-side interior angles.

9. 1d Name 2 pairs of Alternate exterior angles.

10. 1e Name 2 pairs of same-side exterior angles.

11. 2 Classify each pair of angles as either corresponding angles alternate interior angles, alternate exterior angles, Same-side interior angles, Same-side exterior angles, None of these. Same-side interior angles C points the way.

12. 3 Classify each pair of angles as either corresponding angles alternate interior angles, alternate exterior angles, Same-side interior angles, Same-side exterior angles, None of these. corresponding angles Same Ladder Position

13. 4 Classify each pair of angles as either corresponding angles alternate interior angles, alternate exterior angles, Same-side interior angles, Same-side exterior angles, None of these. None. Note 4 lines not 3 lines are involved.

14. 5 Classify each pair of angles as either corresponding angles alternate interior angles, alternate exterior angles, Same-side interior angles, Same-side exterior angles, None of these. Alternate Interior angles AIA Note the Z points the way.

15. 6 Classify each pair of angles as either corresponding angles alternate interior angles, alternate exterior angles, Same-side interior angles, Same-side exterior angles, None of these. None. Note 4 lines not 3 lines are involved.

16. 7 Classify each pair of angles as either corresponding angles alternate interior angles, alternate exterior angles, Same-side interior angles, Same-side exterior angles, None of these. Corresponding angles Same Ladder Position

17. 8 Classify each pair of angles as either corresponding angles alternate interior angles, alternate exterior angles, Same-side interior angles, Same-side exterior angles, None of these. Same-side interior angles C points the way.

18. 9 Classify each pair of angles as either corresponding angles alternate interior angles, alternate exterior angles, Same-side interior angles, Same-side exterior angles, None of these. Alternate interior angles AIA Note the Z points the way.

19. 10a Classify each pair of lines as intersecting, parallel, or skew. Parallel

20. 10b Classify each pair of lines as intersecting, parallel, or skew. Parallel

21. 10c Classify each pair of lines as intersecting, parallel, or skew. Skew

22. 10d Classify each pair of lines as intersecting, parallel, or skew. Intersecting Note that they are in the same plane.

23. 10e Classify each pair of lines as intersecting, parallel, or skew. Skew

24. 10f Classify each pair of lines as intersecting, parallel, or skew. Skew

25. Name 6 lines // to 11

26. Name several lines skew to 12

27. Name 5 lines // to ABCD 13

28. Name coplanar segments that do not intersect and yet are not parallel. 14

29. Complete each statement with the word… always, sometimes or never never 15 Two skew lines are _________ parallel. Skew lines are non-coplanar while parallel lines are coplanar. 16 always Two parallel lines are _________ coplanar. It is a requirement of definitions.

30. Complete each statement with the word… always, sometimes or never 17 A line in the plane of the ceiling and a line in the floor are ____________ parallel. sometimes Skew Parallel

31. Complete each statement with the word… always, sometimes or never 18 A line in the plane of the wall and the plane of the floor are __________ parallel. Yes

32. Complete each statement with the word… always, sometimes or never 18 A line in the plane of the wall and the plane of the floor are __________ parallel. Yes again

33. Complete each statement with the word… always, sometimes or never 18 A line in the plane of the wall and the plane of the floor are __________ parallel. Sometimes No.

34. Complete each statement with the word… always, sometimes or never A line in the plane of the wall and the plane of the floor are __________ intersecting. Yes

35. Complete each statement with the word… always, sometimes or never A line in the plane of the wall and the plane of the floor are __________ intersecting. Sometimes No

36. Complete each statement with the word… always, sometimes or never A line in the plane of the wall and the plane of the floor are __________ skew. No

37. Complete each statement with the word… always, sometimes or never A line in the plane of the wall and the plane of the floor are __________ skew. Sometimes Yes

38. Complete each statement with the word… always, sometimes or never A line in the plane of the wall and the plane of the floor are __________ skew. Sometimes No again

39. Complete each statement with the word… always, sometimes or never A line in the plane of the wall and the plane of the floor are __________ skew. Sometimes Yes again

40. C’est fini. Good day and good luck.