1 4 segments, rays, parallel lines and planes

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],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]

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],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

1 4 segments, rays, parallel lines and planes

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