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Which shape has all sides equal but not necessarily right angles?

  1. Rectangle

  2. Square

  3. Rhombus

  4. Trapezoid

The correct answer is: Rhombus

A shape that has all sides equal but does not require right angles is a rhombus. In geometry, a rhombus is defined as a quadrilateral with all four sides of equal length. Unlike rectangles and squares, which have right angles, a rhombus can have angles of varying degrees while still maintaining its property of equal side lengths. Rectangles are defined by having opposite sides equal and all angles as right angles, which does not fit the criteria given in the question. Squares, while also having all sides equal, specifically require all angles to be right angles, so they don't meet the conditions set. Trapezoids may have two sides equal, but they do not need to have all four sides equal, making them another unsuitable choice. Thus, the rhombus is the correct answer for a shape that meets the requirement of having all sides equal without the restriction of having right angles.