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.