Yes, they can.
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There are regular polygons (with 3, 4 and 6 sides).There are irregular convex polygons (with 3, 4, 5 or 6 sides). There are [irregular] concave polygons with various numbers of sides.
False because only 4 sided quadrilateral regular polygons have 4 sides such as squares.
All quadrilateral polygons have 4 sides
Regular polygons with 3, 4 or 6 sides.
Polygons that have 4 sides are known as quadrilaterals.