There are several US state flags that have reflectional symmetry if a line of symmetry is drawn vertically down the middle. Alabama, Arizona, New Mexico and Indiana all have symmetry.
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Several state flags have lines of symmetry, including the flags of Ohio, Texas, and Maryland. These flags have simple designs that can be divided into two equal halves along a vertical or horizontal axis. The symmetry in these flags adds to their aesthetic appeal and symbolism.
They all do.
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Alabama, Arizona, Colorado, and New Mexico