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<p>Given: A shape with 4 sides and no right angles, opposite sides are parallel, and some sides have different lengths.</p> <p>To identify the shape:</p> <p>1. The shape cannot be a rectangle or a square because they have right angles.</p> <p>2. It cannot be a hexagon because a hexagon has 6 sides.</p> <p>3. It cannot be a rhombus because all sides of a rhombus are of equal length.</p> <p>4. The only quadrilateral with parallel opposite sides and different lengths is a parallelogram.</p> <p>\textbf{The best name for Charlie's shape is "parallelogram".}</p>
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