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You might find it useful to print off this sheet of squares.
Try experimenting by placing the mirror across the middle of the square to start with then move it gradually in one direction to see what happens.
Try a different starting position now - perhaps still across the middle, but at a different angle.
Which times on a digital clock have a line of symmetry? Which look the same upside-down? You might like to try this investigation and find out!
What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?
A shape and space game for 2, 3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board.