A pentagon has 5 sides whose midpoints form a star shape.
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A hexagram
I think u wanted to say 5 sided polygon & not 5 shaped polygon And a 5 sided polygon is a pentagon (penta meaning 5). hexagon is a 6 sided polygon
The star is a polygon, but not a simple one. It is not simple because parts of the lines forming its boundaries are inside the star. The outline of a star is a simple polygon.
it becomes a Star polygon
a rhombus