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Points, Lines, Planes etc 



Review of notation of points, lines and planes in Geometry. The information was adapted from Henrico County Public Schools.

 

 
 
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Published:  September 07, 2009
 
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Slide 1: Opening Assignment  Define parallel and perpendicular lines Slides are adapted from Henrico County Public Schools Lesson 1-1 Point, Line, Plane 1
Slide 2: Points   Points do not have actual size. How to Sketch: Using dots B A C A  How to label: Use capital letters Never name two points with the same letter (in the same sketch). Lesson 1-1 Point, Line, Plane 2
Slide 3: Lines   Lines extend indefinitely and have no thickness or width. How to sketch : using arrows at both ends. n  A B  How to name: 2 ways (1) small script letter – line n suu suu suu suu suu suu rrrrrr (2) any two points on the line - AB , BC, AC , BA, CA, CB suuuu r Never name a line using three points - ABC Lesson 1-1 Point, Line, Plane 3 C
Slide 4: Ray  A ray has one endpoint and the other is like a line, extending indefinitely. This means one point and one arrow. A ray is labeled as CD D C Lesson 1-1 Point, Line, Plane 4
Slide 5: Collinear Points  Collinear points are points that lie on the same line. (The line does not have to be visible.) A B Collinear C C A B Non collinear Lesson 1-1 Point, Line, Plane 5
Slide 6: Planes A plane is a flat surface that extends indefinitely in all directions.  How to sketch: Use a parallelogram (four sided figure)  How to name: 2 ways (1) Capital script letter – Plane M (2) Any 3 non collinear points in the plane - Plane: ABC/ ACB / BAC /  BCA / CAB / CBA A B C Horizontal Plane Vertical Plane Lesson 1-1 Point, Line, Plane M Other 6
Slide 7: Different planes in a figure: A D E H G C B Plane ABCD Plane EFGH F Plane BCGF Plane ADHE Plane ABFE Plane CDHG Etc. Lesson 1-1 Point, Line, Plane 7
Slide 8: Other planes in the same figure: Any three non collinear points determine a plane! A D E H G C F B Plane AFGD Plane ACGE Plane ACH Plane AGF Plane BDG Etc. Lesson 1-1 Point, Line, Plane 8
Slide 9: Coplanar Objects Coplanar objects (points, lines, etc.) are objects that lie on the same plane. The plane does not have to be visible. A D E H G C F B Are the following points coplanar? A, B, C ? A, B, C, F ? H, G, F, E ? E, H, C, B ? A, G, F ? C, B, F, H ? Lesson 1-1 Point, Line, Plane Yes No Yes Yes Yes No 9
Slide 10: Which of the following is the correct notation for the ray? A. B. C. D. AB CD AB CD D C Lesson 1-1 Point, Line, Plane 10

   
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