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Co p lanar Points

Collinear Points. are points on the same line. Co p lanar Points. 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.

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Co p lanar Points

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  1. Collinear Points are points on the same line. Coplanar Points are points that lie in the same plane.

  2. Non-collinear points are points that do not lie on 1 line.

  3. Non-coplanar points are points that do not lie On 1 plane.

  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. The intersection of line 1 and line2 is point A. Intersection means the elements in both sets. Is the symbol for intersection.

  6. Which is in? L1 Which is thru? L2

  7. In? Under? Above? L3 L1 L2

  8. Which plane containsPoint A ?Point B ?Point C ?Point D ?Line AB ? Both Both V H Both

  9. Classroom Ex. P. 7 1-10

  10. Classroom Ex. P. 7 11-20

  11. Complete ShapesHow many planes are drawn? Add Lines to complete the diagram. 6 How many planes are drawn?

  12. Complete 3-D diagrams 8 Number of Planes = 7 Number of Planes =

  13. Name the segment that go through point V. VRS VST VWR VWT Name the rest of the Planes. RST

  14. Complete the pyramid.

  15. Alternative Plane Drawings Note that the intersection of two planes is a line. The boundaries of the planes are only in the model. A real planes goes on for ever. Therefore, segment AD stretches out to be a line.

  16. Name the back plane. BCF Name the left plane. ABC Name the bottom plane. CDE Name the top plane. ABG Name the front plane. ADE

  17. Three planes can intersect at a 1 line.

  18. Three planes can intersect at a 1 point.

  19. H Point C is in plane _____ L Point D is in plane _____ R Point E is in plane _____ H Point F is in plane _____ L Point G is in plane _____ L, R, H Point A is in plane _____ L, R, H Point B is in plane _____

  20. True or False X S T #1 O W True R Y Intersects plane M at point O.

  21. True or False X #2 S T O W R False Y Plane M intersects at more than 1 point.

  22. True or False X #3 S T O W R False Y T, O and R are collinear.

  23. True or False X #4 S T O True W R Y X, O, and Y are collinear.

  24. True or False X #5 S T O True W R Y R, O, S, and W are coplanar.

  25. True or False X #6 S T O W R False Y R, S, T, and X are coplanar.

  26. True or False X #7 S T O True W R Y R, X, O and Y are coplanar.

  27. X #8 S T O No W R Y Does a plane have edges?

  28. X #9 S T O Yes W R Yes Y Can a given point be in 2 lines? Ten lines?

  29. X #10 S T O Yes W R Yes Y Can a given line be in 2 planes? In 10 planes?

  30. Find the fourth point of the plane. #11-16 False D G G A, B, C, ___ E, F, H, ___ D, C, H, ___ H A F A, D, E, ___ B, E, F, ___ B, G, C, ___

  31. Are there any points in line CG besides C and G? Yes Are there more than 4 points in plane ABCD? Yes

  32. Name the intersection of plane ABFE and BCGF. Name two planes that do not intersect. ABCD & DFGH ABFE & DCGH ADHE & BCGF

  33. C’est fini. The End

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