The 8 sets of co-ordinates below define various quadrilaterals (4-sided shapes). In each case one co-ordinate is missing.

  1. (2,11), (0,9), (2,7), (?,?)
  2. (3,7), (3,4), (8,4), (?,?)
  3. (18,3), (16,5), (12,5), (?,?)
  4. (13,12), (15,14), (12,17), (?,?)
  5. (7,14), (6,11), (7,8), (?,?)
  6. (15,9), (19,9), (16,11), (?,?)
  7. (11,3), (15,2), (16,6), (?,?)
  8. (9,16), (2,9), (9,2), (?,?)

These 8 quadrilaterals are all symmetrical. This may be rotational or line symmetry or both. The shapes are all in the first quadrant.

The set of 8 missing co-ordinates define another shape - this time with 8 sides which has both rotational and line symmetry.

Can you draw this new 8-sided shape on a graph like the one below?

Grid.