1. **Stating the problem:** Jan claims that a rhombus is a parallelogram and that every parallelogram is also a rhombus. 2. **Definitions and properties:** - A **parallelogram** is a quadrilateral with both pairs of opposite sides parallel. - A **rhombus** is a parallelogram with all four sides of equal length. 3. **Analyzing Jan's first statement:** - Every rhombus has all sides equal and opposite sides parallel, so it fits the definition of a parallelogram. - Therefore, **every rhombus is a parallelogram**. Jan is correct here. 4. **Analyzing Jan's second statement:** - Not every parallelogram has all sides equal; for example, a rectangle is a parallelogram but not a rhombus. - Therefore, **not every parallelogram is a rhombus**. Jan is incorrect here. 5. **Conclusion:** - Jan is correct that a rhombus is a parallelogram. - Jan is incorrect that every parallelogram is a rhombus. This explains the relationship clearly and corrects the misconception.