England's flag
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US State flags with reflectional symmetry are:AlabamaArizonaColoradoNew MexicoThe flag of Maryland appears to have rotational symmetry at first glance, but in fact the colours are rotated in each canton (corner).Similarly, Ohio's flag appears to have reflectional symmetry, but the stars in the flag are rotated in the bottom half of the triangle on the left-hand side.
Yes it does. A regular hexagon will have both rotational and reflectional symmetry about its centre.
Line of symmetry
both
BED