If that third of a hexagon is based on adjacent corner points and the center point, then the resulting shape would be a rhombus, which is a parallelogram with equal length sides, which in turn is a quadrilateral whose opposite side are parallel.
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A hexagon have three diamonds. Two perfect diamonds attach together and the third diamond cut into half to create a hexagon. I know it can be a bit confusing but that is the logic of have three diamonds in a hexagon.
A similar hexagon
A hexagon has 6 sides whereas a trapezoid has 4 sides therefore a hexagon is 6/4 or 3/2 of a trapezoid as an improper fraction.
The radius of a circle inscribed in a regular hexagon equals the length of one side of the hexagon.
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