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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.
The U.S. flag has three shapes on it: the blue rectanglethat has the stars on it and the 13 long rectangular stripes that are red and white.
The double lines on the side of a triangle typically indicate that the side is congruent to another side in the triangle. In geometry, congruent sides have the same length. Therefore, the presence of double lines signifies that the two sides are equal in length. This is a common notation used to denote congruence in geometric figures.
Geometric echo is a repeating shape in a pattern. The stars on the US flag is a geometric echo.
Accorfing to usflsg.org the proportions of the US flag are width) of flag 1.0 length of flag 1.9 or, as a ratio, 10:19. This allows the flag to be made in any size from lapel pin to football field covering and still be "correct"Flag developers are very picky abut all aspects of the flag, the stars, stripes and blue field have their own aspect ratios. Even the colours are not just red, white and blue but:Old Glory Blue Pantone: 282C,Old Glory Red Pantone: 193C,White