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Q: A polygon with four sides no two of which need to be the same size?

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A trapezoid.

No.No.No.No.

A four-sided figure with no equal sides is an irregular quadrilateral.

A polygon is any geometric 2-D shape. A Quadrilateral is a polygon with four sides.

"...need to be the same SIZE?" Quadrilateral (including trapezium).

A regular polygon requires all sides to be the same length; in a rectangle not all four sides are the same length (they form two pairs of sides of equal length) and so it is not a regular polygon.

A rhombus is a quadrilateral polygon with four sides of all equal length.

a Quadrilateral

It is a square or a rhombus

A rhombus is a simple quadrilateral where the four sides have the same length. A polygon can contain many sides from three and beyond, a Regular Polygon has all its sides and angles equal

A square has 4 right angles and 4 equal sides.

A regular polygon is one in which all the sides are the same length and also, all the angles are of the same measure. A rhombus, is a four sided polygon (quadrilateral) in which all sides are of equal length. However, in general, it is not regular because the angles are not the same - unless it forms a square.

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