This activity investigates how you might make squares and pentominoes from Polydron.
Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.
What is the missing symbol? Can you decode this in a similar way?
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?
Shaded Squares
What omissions do you notice?