Name each of the following parallelograms.
The diagonals are equal and the adjacent sides are equal .

Answer

To solve the question, we need to identify the type of parallelogram based on the given properties: the diagonals are equal, and the adjacent sides are equal.

### Step-by-Step Solution:

1. **Understanding the Properties**:
- A parallelogram is a quadrilateral with opposite sides that are equal and parallel.
- The diagonals of a parallelogram are equal if it is a rectangle or a rhombus.
- Adjacent sides being equal indicates that the sides next to each other are of the same length.

2. **Identifying the Type of Parallelogram**:
- If the diagonals are equal, the parallelogram could be a rectangle or a rhombus.
- If the adjacent sides are also equal, this indicates that each side is of the same length, which is a property of a rhombus.

3. **Conclusion**:
- Since both conditions are satisfied (diagonals are equal and adjacent sides are equal), the parallelogram in question is a **rhombus**.

### Final Answer:
The parallelogram is a **rhombus**.