Yes a kite is a 4 sided quadrilateral polygon
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A regular polygon must have all its sides equal and all its angles equal. The only regular quadrilateral is a square.
An inverted kite is still a kite.
YES, a regular shape has all the angles equal and a kite does not.
2 obtuse and 2 acute in the classic kite shape.
As long as the shape is enclosed, any shape of any number of sides is a polygon. The name for a six-sided polygon is a hexagon.