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What defines a square?

  1. A quadrilateral with only right angles

  2. A rectangle with all sides equal in length

  3. A rhombus with no right angles

  4. A parallelogram with no equal sides

The correct answer is: A rectangle with all sides equal in length

A square is fundamentally defined as a rectangle with all sides equal in length. This definition captures the essential characteristics of a square: it has four sides (making it a quadrilateral), all angles are right angles (90 degrees), and, importantly, all sides are equal in length. This means while all squares are rectangles because they have right angles, not all rectangles are squares, as rectangles can have unequal side lengths. By understanding this specific definition, it clarifies why the answer aligns with the definition of a square and highlights its unique properties compared to other quadrilaterals. The square is, in fact, a specific type of rectangle and also inherits the properties of a parallelogram and a rhombus, but it is the condition of having all sides equal that distinctly defines it as a square.