The polygon, as described in the question, is an equilateral polygon. If, in addition to this, all its angles have the same measure then the polygon is said to be regular. Polygons can be equilateral or equiangular or both (regular). The one exception is a triangle where equilateral implies (and is implied by) equiangular.
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a polygon with all sides the same length and all angles the same measure is called?
a regular polygon
No.No.No.No.
a polygon in which the sides are not all the same length
That is called a regular polygon.