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8-9-13

8-9-13. Basics of Geometry Unit. Points do not have actual size. They simply have a location. How to Sketch: Using dots How to label: Use capital letters Never name two points with the same letter (in the same sketch). A. B. A. C. Points. Lines.

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8-9-13

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  1. 8-9-13 Basics of Geometry Unit

  2. Points do not have actual size. They simply have a location. • How to Sketch: Using dots • How to label: Use capital letters Never name two points with the same letter (in the same sketch). A B A C Points

  3. Lines • Lines extend indefinitely and have no thickness or width. It consists of infinitely many points. • How to sketch : using arrows at both ends. • How to name: 2 ways (1) small script letter – line n (2) any two points on the line - • Never name a line using three points - n A B C

  4. 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 Planes M B C Horizontal Plane Vertical Plane Other

  5. Collinear points are points that lie on the same line. (The line does not have to be visible.) A B C Collinear C A Collinear Points B Non collinear

  6. Coplanar objects (points, lines, etc.) are objects that lie on the same plane. The plane does not have to be visible. Are the following points coplanar? A, B, C ? Yes A, B, C, F ? No H, G, F, E ? Yes E, H, C, B ? Yes Coplanar Objects A, G, F ? Yes C, B, F, H ? No

  7. A B Plane ABCD Plane EFGH Plane BCGF Plane ADHE Plane ABFE Plane CDHG Etc. D C E F H G Different planes in a figure:

  8. Any three non collinear points determine a plane! Plane AFGD Plane ACGE Plane ACH Plane AGF Plane BDG Etc. Other planes in the same figure:

  9. The intersection of two figures is the set of points that are common in both figures. The intersection of two lines is a point. m Line m and line n intersect at point P. P Intersection of Figures n Continued…….

  10. (1) Line passes through plane – intersection is a point. Intersection of a Line and a Plane

  11. B P A Intersection of Two Planes is a Line. R Plane P and Plane R intersect at the line

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