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Symmetry Challenge

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

The $3$ by $3$ grid has $4$ lines of symmetry.
How might this help?
Flips or Turns / Reflections-- are they the same or different?
Try shading $1$ square only. What symmetries are possible?
Try shading $2, 3, 4 \ldots$ squares only. What symmetries are now possible?

How helpful would this table be?

Lines of symmetry
0
1
2
3
4

Shaded
Squares

1
2
3
4

What omissions do you notice?