1. Splash Screen

2. Then/Now You used angle and line segment relationships to prove theorems. Identify relationships between two lines or two planes. Name angle pairs formed by parallel lines and transversals.

3. Vocabulary parallel lines skew lines parallel planes transversal interior angles exterior angles consecutive interior angles alternate interior angles alternate exterior angles corresponding angles

4. Concept If segments or rays are contained within lines that are parallel or skew, then the segments or rays are parallel or skew.

5. Example 1 Identify Parallel and Skew Relationships Answer: A. Name all segments parallel to BC.

6. Example 1 Identify Parallel and Skew Relationships Answer: AD, EH, FG A. Name all segments parallel to BC.

7. Example 1 Identify Parallel and Skew Relationships B. Name a segment skew to EH. Answer:

8. Example 1 Identify Parallel and Skew Relationships B. Name a segment skew to EH. Answer: AB, CD, BG, or CF

9. C. Name a plane parallel to plane ABG. Example 1 Identify Parallel and Skew Relationships Answer:

10. C. Name a plane parallel to plane ABG. Example 1 Identify Parallel and Skew Relationships Answer: plane CDE

11. Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST.

12. Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST.

13. Example 1b B.Name a segment that intersects YZ. A.XY B.WX C.QW D.RS

14. Example 1b B.Name a segment that intersects YZ. A.XY B.WX C.QW D.RS

15. Example 1c C.Name a segment that is parallel to RX. A.ZW B.TZ C.QR D.ST

16. Example 1c C.Name a segment that is parallel to RX. A.ZW B.TZ C.QR D.ST

17. A line that intersects two or more coplanar lines at two different points is called a transversal.

18. Concept

19. Example 2 Classify Angle Pair Relationships A. Classify the relationship between  2 and  6 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer:

20. Example 2 Classify Angle Pair Relationships A. Classify the relationship between  2 and  6 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: corresponding

21. Example 2 Classify Angle Pair Relationships B. Classify the relationship between  1 and  7 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer:

22. Example 2 Classify Angle Pair Relationships B. Classify the relationship between  1 and  7 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: alternate exterior

23. Example 2 Classify Angle Pair Relationships C. Classify the relationship between  3 and  8 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer:

24. Example 2 Classify Angle Pair Relationships C. Classify the relationship between  3 and  8 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: consecutive interior

25. Example 2 Classify Angle Pair Relationships D. Classify the relationship between  3 and  5 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer:

26. Example 2 Classify Angle Pair Relationships D. Classify the relationship between  3 and  5 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: alternate interior

27. Example 2a A.alternate interior B.alternate exterior C.corresponding D.consecutive interior A. Classify the relationship between  4 and  5.

28. Example 2a A.alternate interior B.alternate exterior C.corresponding D.consecutive interior A. Classify the relationship between  4 and  5.

29. Example 2b A.alternate interior B.alternate exterior C.corresponding D.consecutive interior B. Classify the relationship between  7 and  9.

30. Example 2b A.alternate interior B.alternate exterior C.corresponding D.consecutive interior B. Classify the relationship between  7 and  9.

31. Example 2c A.alternate interior B.alternate exterior C.corresponding D.consecutive interior C. Classify the relationship between  4 and  7.

32. Example 2c A.alternate interior B.alternate exterior C.corresponding D.consecutive interior C. Classify the relationship between  4 and  7.

33. Example 2d A.alternate interior B.alternate exterior C.corresponding D.consecutive interior D. Classify the relationship between  2 and  11.

34. Example 2d A.alternate interior B.alternate exterior C.corresponding D.consecutive interior D. Classify the relationship between  2 and  11.

35. When more than one line can be considered a transversal, first identify the transversal for a given angle pair by locating the line that connects the vertices of the angles.

36. Example 3 Identify Transversals and Classify Angle Pairs A. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting  1 and  2. Then classify the relationship between the pair of angles. Answer:

37. Example 3 Identify Transversals and Classify Angle Pairs A. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting  1 and  2. Then classify the relationship between the pair of angles. Answer:

38. Example 3 Identify Transversals and Classify Angle Pairs A. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting  1 and  2. Then classify the relationship between the pair of angles. Answer: The transversal connecting  1 and  2 is line v. These are corresponding angles.

39. Example 3 Identify Transversals and Classify Angle Pairs B. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting  2 and  3. Then classify the relationship between the pair of angles. Answer:

40. Example 3 Identify Transversals and Classify Angle Pairs B. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting  2 and  3. Then classify the relationship between the pair of angles. Answer: The transversal connecting  2 and  3 is line v. These are alternate interior angles.

41. Example 3 Identify Transversals and Classify Angle Pairs C. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting  4 and  5. Then classify the relationship between the pair of angles. Answer:

42. Example 3 Identify Transversals and Classify Angle Pairs C. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting  4 and  5. Then classify the relationship between the pair of angles. Answer: The transversal connecting  4 and  5 is line y. These are consecutive interior angles.

43. Example 3a A.lines c, f B.lines c, d, e C.lines c, d, f D.lines c, d, e, f A. HIKING A group of nature trails is shown. Identify the sets of lines to which line a is a transversal.

44. Example 3a A.lines c, f B.lines c, d, e C.lines c, d, f D.lines c, d, e, f A. HIKING A group of nature trails is shown. Identify the sets of lines to which line a is a transversal.

45. Example 3b A.no lines B.lines c, f C.lines c, d, e, f D.lines a, c, d, e, f B. HIKING A group of nature trails is shown. Identify the sets of lines to which line b is a transversal.

46. Example 3b A.no lines B.lines c, f C.lines c, d, e, f D.lines a, c, d, e, f B. HIKING A group of nature trails is shown. Identify the sets of lines to which line b is a transversal.

47. Example 3c A.no lines B.lines a, b, d, e, f C.lines a, d, f D.lines a, b, e C. HIKING A group of nature trails is shown. Identify the sets of lines to which line c is a transversal.

48. Example 3c A.no lines B.lines a, b, d, e, f C.lines a, d, f D.lines a, b, e C. HIKING A group of nature trails is shown. Identify the sets of lines to which line c is a transversal.

49. End of the Lesson