Click here to download a sheet so you can cut out your own pieces and try different arrangements.
The first of these examples shows a symmetrical arrangement, the second is not allowed because the pieces are not placed edge to edge and the third is not symmetrical.
This problem is adapted from the NRICH task Reflecting Squarely with permission of the University of Cambridge. All rights reserved.
See nrich.maths.org/1840 for more about this problem.