Which polygon will always have 4-fold reflectional symmetry and order 4 rotational symmetry?

A square has four lines of reflectional symmetry: two diagonals and two lines through the midpoints of opposite sides. It also maps onto itself four times during a full 360° rotation, at 90° intervals, so its rotational symmetry has order 4. The other shapes do not always have both of these symmetries.

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