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What is a rhombus?

  1. A quadrilateral with all angles equal

  2. A parallelogram where all sides are equal in length

  3. A quadrilateral with only one pair of parallel sides

  4. A shape with exactly three sides

The correct answer is: A parallelogram where all sides are equal in length

A rhombus is defined as a special type of parallelogram where all four sides are of equal length. This means that while the opposite sides of a rhombus remain parallel (a key characteristic of parallelograms), the defining feature is the equality of all sides. The correct answer captures this essential property. For a figure to be classified as a rhombus, it must meet the criteria for being a parallelogram, which includes having opposite sides that are parallel and equal. However, the rhombus elevates this by also requiring that all sides have the same length. The other definitions listed do not fit the characteristics of a rhombus: - A quadrilateral with all angles equal describes a square, which is a specific type of rhombus where all angles are also right angles. - A quadrilateral with only one pair of parallel sides refers to a trapezoid, which lacks the properties needed to be a rhombus. - A shape with exactly three sides describes a triangle, entirely different from any quadilateral structure, including a rhombus. This understanding reinforces why the classification of a rhombus as a parallelogram with equal-length sides is accurate and precise.