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Animations from Cabri 3D 1. Planes of symmetry of a cube

Animations from Cabri 3D 1. Planes of symmetry of a cube. Adrian Oldknow November 2004. A new Cabri 3D page. Create a ray. and a point on the ray. Use point symmetry. Rotate for a 3 rd point. Reflect for the 4 th point. Draw a parallel. Construct a perpendicular.

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Animations from Cabri 3D 1. Planes of symmetry of a cube

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  1. Animations from Cabri 3D1. Planes of symmetry of a cube Adrian Oldknow November 2004

  2. A new Cabri 3D page

  3. Create a ray

  4. and a point on the ray

  5. Use point symmetry

  6. Rotate for a 3rd point

  7. Reflect for the 4th point

  8. Draw a parallel

  9. Construct a perpendicular

  10. Find the intersection point

  11. Point symmetry again

  12. and some reflections

  13. Draw a perpendicular

  14. Draw a circle around an axis

  15. Find the intersections

  16. Create a parallel plane

  17. Create another perpendicular

  18. and find the intersection

  19. Start tidying up!

  20. Another perpendicular

  21. Point symmetry for the others

  22. Hide some constructions

  23. Until all you see are points!

  24. Now join up some dots

  25. And reflect in the mid-plane

  26. The cube is nearly there

  27. At last – a cube!

  28. Hide the spare dots

  29. Colour the edges

  30. Label the vertices

  31. Spin it a bit

  32. Define a polygon

  33. Is it in a plane of symmetry?

  34. Here’s one diagonal

  35. Is the other diagonal equal?

  36. How many diagonals like this?

  37. And like this?

  38. Did you get all these?

  39. How many planes like this?

  40. And like this?

  41. Here are 2 joining green edges

  42. And the third: the edge bisector

  43. So how many planes of symmetry does a cube have?

  44. Dots at the centres of each face

  45. What shape do they make?

  46. Looks familiar?

  47. Well, that’s another story!

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