A Cartesian Puzzle


We have had the following solution from Matthew, David and Jack at St. Nicolas School, Newbury. They thought there was a problem with number 6 but there isn't!

Our solutions to the missing coordinates are:

  1. (2,11), (0,9), (2,7) ..............(4,9)
    which had both rotational and line symmetry.
  2. (3,7), (3,4), (8,4) ..............(8,7)
    which had both rotational and line symmetry.
  3. (18,3), (16,5), (12,5) ..............(10,3)
    which had line symmetry.
  4. (13,12), (15,14), (12,17) ..............(10,15)
    which had both rotational and line symmetry.
  5. (7,14), (6,11), (7,8) ..............(8,11)
    which had both rotational and line symmetry.
  6. (15,9), (19,9), (16,11) ..............(12,11)
    which had rotational symmetry.
  7. (11,3), (15,2), (16,6) ..............(12,7)
    which had both rotational and line symmetry.
  8. (9,16), (2,9), (9,2) ..............(16,9)
    which had both rotational and line symmetry.

We plotted these 8 sets of coordinates, which made a symmetrical star.

Symmetical 4-pointed star on graph paper.