Subjects geometry

Rhombus Parallelogram 79B4Ec

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1. The problem asks whether Jan's statement is correct: "A rhombus is a parallelogram and every parallelogram is also a rhombus." 2. First, recall definitions: - A parallelogram is a quadrilateral with both pairs of opposite sides parallel. - A rhombus is a parallelogram with all four sides equal in length. 3. Since a rhombus has all sides equal and opposite sides parallel, it is always a parallelogram. So the first part of Jan's statement is correct. 4. However, not every parallelogram has all sides equal. For example, a rectangle is a parallelogram but not a rhombus. 5. Therefore, the second part of Jan's statement is incorrect. 6. In conclusion, Jan is only partially correct: every rhombus is a parallelogram, but not every parallelogram is a rhombus.