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Co p lanar Points Collinear Points are points on the same line. are points that lie in the same plane.
Non-collinear  p oints are points that do not lie on 1 line.
Non-co p lanar points are points that do not lie On 1 plane.
Point A is on line 1. Point A is in line 1. Line 1 contains point A. Line 1 is through point A.
The  intersection  of line 1 and line2 is point A. Intersection means the elements in both sets. Is the  symbol  for inter...
Which is in?  Which is thru? L 1 L 2
In?  Under?  Above? L 1 L 2 L 3
Which plane contains Point  A  ? Point  B  ? Point  C  ? Point  D  ? Line  AB  ? Both Both Both H V
Classroom Ex. P.  7  1-10
Classroom Ex. P.  7  11-20
Complete Shapes How many planes are drawn? Add Lines to complete the diagram. How many planes are drawn? 6
Complete 3-D diagrams Number of Planes = 7 Number of Planes = 8
Name the segment that go through point V. Name the rest of the Planes. VRS VWT VWR VST RST
Complete the pyramid.
Alternative Plane Drawings Note that the intersection  of two planes is a line. Therefore, segment AD stretches out to be ...
Name the back plane. Name the left plane. Name the bottom plane. Name the top plane. Name the front plane. BCF CDE ABC ABG...
Three planes can intersect at a 1 line.
Three planes can intersect at a 1 point.
Point C is in plane _____ Point D is in plane _____ Point E is in plane _____ Point F is in plane _____ Point G is in plan...
S W O T R Y X True or False Intersects plane M at point O. True #1
Plane M intersects  at more  than 1 point. S W O T R Y X True or False False #2
S W O T R Y X True or False T, O and R are collinear. False #3
S W O T R Y X True or False X, O, and Y are collinear. True #4
S W O T R Y X True or False R, O, S, and W are coplanar. True #5
S W O T R Y X True or False R, S, T, and X are coplanar. False #6
S W O T R Y X True or False R, X, O and Y are coplanar. True #7
S W O T R Y X Does a plane have edges? No #8
S W O T R Y X Can a given point be in 2 lines?  Ten lines? Yes #9 Yes
S W O T R Y X Can a given line be in 2 planes?  In 10 planes? Yes #10 Yes
Find the fourth point of the plane. A, B, C, ___ False #11-16 B, G, C, ___ B, E, F, ___ A, D, E, ___ D, C, H, ___ E, F, H,...
Are there any points in line CG besides C and G? Are there more than 4 points in plane ABCD? Yes Yes
Name the intersection of plane ABFE and BCGF. Name two planes that do not intersect. ABCD & DFGH ABFE & DCGH ADHE & BCGF
C’est fini. The End
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Ac1.2bCollinearIntersectionNamingPlanes

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Explanation of Collinear and Coplanar points and Naming Planes

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Transcript of "Ac1.2bCollinearIntersectionNamingPlanes"

  1. 1. Co p lanar Points Collinear Points are points on the same line. are points that lie in the same plane.
  2. 2. Non-collinear p oints are points that do not lie on 1 line.
  3. 3. Non-co p lanar points are points that do not lie On 1 plane.
  4. 4. Point A is on line 1. Point A is in line 1. Line 1 contains point A. Line 1 is through point A.
  5. 5. The intersection of line 1 and line2 is point A. Intersection means the elements in both sets. Is the symbol for intersection.
  6. 6. Which is in? Which is thru? L 1 L 2
  7. 7. In? Under? Above? L 1 L 2 L 3
  8. 8. Which plane contains Point A ? Point B ? Point C ? Point D ? Line AB ? Both Both Both H V
  9. 9. Classroom Ex. P. 7 1-10
  10. 10. Classroom Ex. P. 7 11-20
  11. 11. Complete Shapes How many planes are drawn? Add Lines to complete the diagram. How many planes are drawn? 6
  12. 12. Complete 3-D diagrams Number of Planes = 7 Number of Planes = 8
  13. 13. Name the segment that go through point V. Name the rest of the Planes. VRS VWT VWR VST RST
  14. 14. Complete the pyramid.
  15. 15. Alternative Plane Drawings Note that the intersection of two planes is a line. Therefore, segment AD stretches out to be a line. A real planes goes on for ever. The boundaries of the planes are only in the model.
  16. 16. Name the back plane. Name the left plane. Name the bottom plane. Name the top plane. Name the front plane. BCF CDE ABC ABG ADE
  17. 17. Three planes can intersect at a 1 line.
  18. 18. Three planes can intersect at a 1 point.
  19. 19. Point C is in plane _____ Point D is in plane _____ Point E is in plane _____ Point F is in plane _____ Point G is in plane _____ Point A is in plane _____ Point B is in plane _____ H R L H L L, R, H L, R, H
  20. 20. S W O T R Y X True or False Intersects plane M at point O. True #1
  21. 21. Plane M intersects at more than 1 point. S W O T R Y X True or False False #2
  22. 22. S W O T R Y X True or False T, O and R are collinear. False #3
  23. 23. S W O T R Y X True or False X, O, and Y are collinear. True #4
  24. 24. S W O T R Y X True or False R, O, S, and W are coplanar. True #5
  25. 25. S W O T R Y X True or False R, S, T, and X are coplanar. False #6
  26. 26. S W O T R Y X True or False R, X, O and Y are coplanar. True #7
  27. 27. S W O T R Y X Does a plane have edges? No #8
  28. 28. S W O T R Y X Can a given point be in 2 lines? Ten lines? Yes #9 Yes
  29. 29. S W O T R Y X Can a given line be in 2 planes? In 10 planes? Yes #10 Yes
  30. 30. Find the fourth point of the plane. A, B, C, ___ False #11-16 B, G, C, ___ B, E, F, ___ A, D, E, ___ D, C, H, ___ E, F, H, ___ D G G H A F
  31. 31. Are there any points in line CG besides C and G? Are there more than 4 points in plane ABCD? Yes Yes
  32. 32. Name the intersection of plane ABFE and BCGF. Name two planes that do not intersect. ABCD & DFGH ABFE & DCGH ADHE & BCGF
  33. 33. C’est fini. The End
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