Darius draws a regular hexagon on the coordinate plane. He then translates the hexagon up 3 units and to the left 2 units. How many sets of parallel sides will the translated hexagon have?
A regular hexagon has parallel opposite sides. After translating up 3 units and to the left 2 units, the hexagon will still have parallel opposite sides. Therefore, the translated hexagon will have $\boxed{3}$ sets of parallel sides.
