1. The problem asks to determine which figures are quadrilaterals and to evaluate statements about a given figure.
2. A quadrilateral is a polygon with exactly four sides.
3. The figure described is a rhombus, which is a type of quadrilateral with all sides equal and opposite sides parallel.
4. Statement 4: "The figure is a rectangle." A rectangle has four right angles. Since the figure is a tilted rhombus (diamond shape), it does not have right angles. Therefore, this statement is false.
5. Statement 5: "The figure is a square." A square is a rhombus with right angles. Since the figure is a rhombus but not a rectangle, it cannot be a square. Therefore, this statement is false.
6. Statement 6: "The figure is a rhombus." The figure is described as a rhombus, so this statement is true.
7. Statement 7: "The figure is not a parallelogram." A rhombus is a special type of parallelogram with all sides equal. Therefore, this statement is false.
Final answers:
- The figure is a quadrilateral.
- Statement 4: False
- Statement 5: False
- Statement 6: True
- Statement 7: False
Rhombus Properties 139C71
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