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Sec. 1 – 4  Segments, Rays, Parallel Lines and Planes Objectives: 1)  Identify segments and rays. 2)  Recognize parallel lines.
[object Object],[object Object],[object Object],[object Object],A B AB
[object Object],[object Object],[object Object],[object Object],[object Object],A B AB refers to the segment refers to the length of
[object Object],[object Object],[object Object],[object Object],A B AB
[object Object],[object Object],[object Object],Same Line Q R S RQ & RS Endpoints
Ex.1:  Naming segments and rays. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],L P Q Are LP and PL opposite rays?? No, not the same endpoints Are LP and LQ different rays?? No, they the same same ray.
[object Object],[object Object],[object Object],[object Object],[object Object],r t
[object Object],[object Object],[object Object],A B C D E F G H
What would you call two lines which do not intersect? Parallel A solid arrow placed on two lines of a diagram indicate the lines are parallel. The symbol  ||  is used to indicate parallel lines. AB  ||  CD
A slash through the parallel symbol  ||  indicates the lines are  not  parallel. AB  ||  CD
Skew Lines –  Two lines are skew if they are not in the same plane  and  do not intersect. AB  does not intersect  CD  .  Since the lines are not in the same plane, they are  skew  lines.
For the rectangular box shown below, find ,[object Object]
For the rectangular box shown below, find ,[object Object],Plane BAH (or any plane with BAHG).
Parallel Lines and Transversals For the rectangular box shown below, find ,[object Object]
For the rectangular box shown below, find ,[object Object]
For the rectangular box shown below, find ,[object Object]
Parallel Lines and Transversals AB, GH, EF For the rectangular box shown below, find ,[object Object]
For the rectangular box shown below, find ,[object Object]
For the rectangular box shown below, find ,[object Object]
For the rectangular box shown below, find ,[object Object]
For the rectangular box shown below, find ,[object Object],Segments HE, AD, and BC are || or in the same plane.  Segments GH, EF, BG and CF intersect and are in the same plane.  These segments are  not  skew to GF.
1-3 Use the figure below. Name all segments that  are parallel to  AE . Name all segments that are skew to  AE . Parallel segments  lie in the same plane, and the lines that contain  them do not intersect. The three segments in the figure above that  are parallel to  AE  are  BF ,  CG , and  DH . Skew lines are lines that do not lie in the same plane. The four lines  in the figure that do not lie in the same plane as  AE  are  BC ,  CD ,  FG ,  and  GH .
Parallel to GJ? Skew to GJ? HI, DN AB, CD, CH
What have we learned?? ,[object Object],[object Object],[object Object],X Y Z XY  or YZ  or  ZX XY  or YZ  or XZ XY  or YZ  or ZX  or YX
Parallel Lines  ~   coplanar lines that do  not intersect Skew Lines  ~  noncoplanar  They are not parallel  & they do not intersect Same direction & Same plane Different direction & Different  plane Lines that do not intersect  may or may not be coplanar.
Homework- Pg. 25 # 3 – 23 , 25-33 write out sentences, 34, 44, 46 - 49
 
Don’t forget 25-33, write out sentences

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1 4 segments, rays, parallel lines and planes

  • 1. Sec. 1 – 4 Segments, Rays, Parallel Lines and Planes Objectives: 1) Identify segments and rays. 2) Recognize parallel lines.
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9. What would you call two lines which do not intersect? Parallel A solid arrow placed on two lines of a diagram indicate the lines are parallel. The symbol || is used to indicate parallel lines. AB || CD
  • 10. A slash through the parallel symbol || indicates the lines are not parallel. AB || CD
  • 11. Skew Lines – Two lines are skew if they are not in the same plane and do not intersect. AB does not intersect CD . Since the lines are not in the same plane, they are skew lines.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22. 1-3 Use the figure below. Name all segments that are parallel to AE . Name all segments that are skew to AE . Parallel segments lie in the same plane, and the lines that contain them do not intersect. The three segments in the figure above that are parallel to AE are BF , CG , and DH . Skew lines are lines that do not lie in the same plane. The four lines in the figure that do not lie in the same plane as AE are BC , CD , FG , and GH .
  • 23. Parallel to GJ? Skew to GJ? HI, DN AB, CD, CH
  • 24.
  • 25. Parallel Lines ~ coplanar lines that do not intersect Skew Lines ~ noncoplanar They are not parallel & they do not intersect Same direction & Same plane Different direction & Different plane Lines that do not intersect may or may not be coplanar.
  • 26. Homework- Pg. 25 # 3 – 23 , 25-33 write out sentences, 34, 44, 46 - 49
  • 27.  
  • 28. Don’t forget 25-33, write out sentences