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# A kite is a parallelogram only when it is a rhombus. Is this statement true or false?

A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal.

## Answer: A kite is a parallelogram only when it is a rhombus. The given statement is true.

A kite is a quadrilateral in which two pairs of adjacent sides are equal.

**Explanation:**

A kite is generally not considered a parallelogram because a kite is a quadrilateral whose four sides can be grouped into two pairs of sides of the same length that are adjacent to each other. In contrast, a parallelogram also has two pairs of sides of the same length, but they are opposite each other rather than adjacent.

On the other hand, if in a quadrilateral, all the sides are equal and the opposite sides are parallel, it becomes a rhombus. If all the sides are equal and all the angles of the quadrilateral are 90^{°}, then it becomes a square.

As you can see in this diagram, a square is a rhombus which is a kite, and a kite is a quadrilateral, but a kite is not always a rhombus. Hence, a kite is not considered to be a parallelogram.

### Thus, a kite is a parallelogram only when it is a rhombus. This statement is true.

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