Task# Partitioning a hexagon

Illustrative MathematicsVaries

The purpose of this task is for students to find a way to decompose a regular hexagon into congruent figures. This is meant as an instructional task that gives students some practice working with transformations. Parts (a) and (b) show that for a figure with 2-fold rotational symmetry, there are many easy ways to decompose it into 2 congruent pieces. However, it is more challenging to decompose the hexagon into 4 and 8 pieces, respectively, because we can't use the rotational symmetry of the figure to do it.