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: The statement is true.
A kite is a quadrilateral in which two pairs of adjacent sides are equal.
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 opposite sides are parallel, we have a rhombus. If all the sides are equal and all the angles of the quadrilateral are 90°, then we have 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. That is why in general, a kite is not considered a parallelogram.