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Q: What polygon with 4 sides and no two sides the same?

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a Quadrilateral

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

a polygon with 4 right angles and 4 sides of the same length

No.All 4 sides of a rhombus are the same length.

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There are infinitely many such shapes. A polygon with 4 or more sides can have two sides that are parallel and they need not be the same length.

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