1. Chapter 3.1: Identify Pairs of Lines and Angles

2. What angle pairs are formed by transversals?
M11.B.2.1, M11.C.1.2

3. l m Parallel lines never intersect are coplanar
The symbol for parallel lines is ||
If line l is parallel to line m you can represent it with l || m .
When 2 drawn lines are parallel there will be little arrows or triangles on the lines. l m

4. Are these parallel judging by sight?m

5. Are these parallel? l m S

6. Are these parallel? g h

7. Are these parallel? y z

8. Parallel planes are two planes that do not intersect.

9. Perpendicular Planes are planes that intersect at a 90˚ angle.

10. g h Skewed Lines Skewed lines do not intersect, but are not coplanar.
The last 2 examples were examples of skewed lines. g h
Skewed Lines

12. Parallel Postulate
If there is a line and a point not on that line, then you can draw only 1 line parallel to the line that passes through that point. .
Not parallel

13. Perpendicular Postulate
If there is a line and a point, then there is one line that passes through the point that is perpendicular to the line.
Not Perpendicular .

15. Page 148
# 2 - 5

16. Transversals
Transversals are lines that intersect two or more coplanar lines at different points.
In other words a line that intersects 2 other lines.
transversal

17. There are 4 different angle relationships created by a transversal
Corresponding angles: same side of transversal and of the individual lines. (angles 2 and 6)
Alternate interior: angles on the inside of the 2 lines, but on either side of the transversal. (angles 4 and 5)

18. Alternate exterior: angles on the outside of the lines, but on opposite sides of the transversal. (angles 1 and 8)
Consecutive interior: angles on the inside of the lines and on the same side of the transversal. (angles 3 and 5)

19. Identify Corresponding Angles2 1 3 4 5 6 7 8
Next Angle Relation

20. Identify Corresponding Angles2 1 3 4 5 6 7 8

21. Identify Corresponding Angles4 7 5 1 6 2 3 8

22. Identify Corresponding Angles8 5 1 2 6 3 7 4

23. Identify Corresponding Angles2 1 4 5 6 8 5 2 6 3 7 4

24. Identify Corresponding Angles1 5 8 2 6 3 7 4

25. Identify Corresponding Angles2 1 8 5 6 3 7 4

26. Identify Corresponding Angles1 6 8 5 2 3 7 4

27. 2 1 3 4 5 6 7 8

28. Correct!!!

29.     Wrong    

30. Identify Alternate Interior Angles1 2 3 4 5 6 7 8
Next Angle Relation

31. Identify Alternate Interior Angles1 2 3 4 5 6 7 8

32. Identify Alternate Interior Angles1 2 3 4 5 6 7 8

33. Identify Alternate Interior Angles1 2 3 4 5 6 7 8

34. Identify Alternate Interior Angles1 2 3 4 5 6 7 8

35. Correct!!!

36.     Wrong    

37. Identify Alternate Exterior Angles1 2 3 4 5 6 7 8
Next Angle Relation

38. Identify Alternate Exterior Angles1 2 3 4 5 6 7 8

39. Identify Alternate Exterior Angles1 2 3 4 5 6 7 8

40. Identify Alternate Exterior Angles1 2 3 4 5 6 7 8

41. Identify Alternate Exterior Angles1 2 3 4 5 6 7 8

42. Correct!!!

43.     Wrong    

44. Identify Consecutive Interior Angles1 2 3 4 5 6 7 8
Next

45. Identify Consecutive Interior Angles1 2 3 4 5 6 7 8

46. Identify Consecutive Interior Angles1 2 3 4 5 6 7 8

47. Identify Consecutive Interior Angles1 2 3 4 5 6 7 8

48. Identify Consecutive Interior Angles1 2 3 4 5 6 7 8

49. Correct!!!

50.     Wrong    

51. Worksheet