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.
Rhombus Parallelogram 79B4Ec
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