square or rhombus
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In general no. A regular hexagon has the same length on all sides. Also, there are other hexagons with the same length on all sides that are not regular.
a polygon with all sides the same length and all angles the same measure is called?
No.No.No.No.
A regular hexagon is a polygon with six sides where all six angles have the same measurement. (And all six sides have the same length.) If the angles of a hexagon do not all have the same measurement, or if the sides are not all of the same length, then the hexagon is irregular.
A square.