Which one has all the properties of a kite and a parallelogram?

Options

A. Trapezium
B. Rhombus
C. Rectangle
D. Parallelogram

Answer

To determine which shape has all the properties of both a kite and a parallelogram, we can analyze the properties of each shape and see which one fulfills the criteria.

### Step-by-Step Solution:

1. **Understand the Properties of a Kite:**
- A kite has two pairs of adjacent sides that are equal.
- The diagonals of a kite intersect at right angles.
- One of the diagonals bisects the other diagonal.

2. **Understand the Properties of a Parallelogram:**
- A parallelogram has opposite sides that are equal and parallel.
- Opposite angles are equal.
- The diagonals of a parallelogram bisect each other.

3. **Identify the Properties of a Rhombus:**
- A rhombus is a special type of parallelogram where all four sides are equal.
- It has all the properties of a parallelogram.
- It also has the properties of a kite (two pairs of adjacent sides are equal).
- The diagonals of a rhombus intersect at right angles and bisect each other.

4. **Conclusion:**
- Since a rhombus has all the properties of both a kite and a parallelogram, it is the shape that satisfies the question.

### Final Answer:
The shape that has all the properties of a kite and a parallelogram is a **rhombus**.

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