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To determine whether parallelogram **GHJI** is a rhombus, we need to verify if all sides are equal and if the diagonals bisect each other at right angles.

In the image, we see a parallelogram with the point **K**, where diagonals **GJ** and **HI** intersect. The diagram marks angle **∠GKH** as a right angle, which indicates that the diagonals of **GHJI** are perpendicular to each other. 

A key property of a rhombus is that the diagonals bisect each other at 90 degrees. Since the diagonals of **GHJI** meet at a right angle, **GHJI** satisfies this property of a rhombus.

Therefore, **yes**, parallelogram **GHJI** is a rhombus.

Would you like further details on the properties of a rhombus or have any other questions?

Here are 5 related questions to explore:
1. What are the properties of diagonals in a rhombus?
2. How do the angles in a rhombus behave?
3. Can a square be considered a rhombus?
4. What is the difference between a parallelogram and a rhombus?
5. How can we calculate the area of a rhombus?

**Tip:** In a rhombus, not only are all sides equal, but the diagonals also divide the shape into four right triangles.

Explore the geometric properties of parallelogram GHJI to determine if it is a rhombus. Learn about the diagonals' behavior and the condition of perpendicular bisectors with right angles. This problem is suitable for students in Grades 7-9 and involves key concepts of geometry and rhombus properties.

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