Planes viewed through a cube

Cube, Planes
To create a plane through three points, click on the following icon: Toolbar Image Examine the following questions.
  1. How many points are in the image?  Explain.
  2. How many segments are there between the 8 visible points?  Explain.
  3. Determine whether or not there is a plane between the following points.
    1. A, B, C, D
    2. D, C, F, E
    3. G, H, C, A
    4. E, H, D
    5. D, C, F 
  4. After completing this activity, what "shape" would you describe a plane to look like?  Why?