1. The problem asks: How and why can a shape be both a kite and a rectangle? 2. Let's define the properties of each shape: - A kite is a quadrilateral with two pairs of adjacent sides equal. - A rectangle is a quadrilateral with four right angles and opposite sides equal. 3. For a shape to be both a kite and a rectangle, it must satisfy both definitions simultaneously. 4. Since a rectangle has all angles equal to 90 degrees and opposite sides equal, and a kite has two pairs of adjacent equal sides, the only way for a shape to be both is if it has all sides equal and all angles 90 degrees. 5. This shape is a square, which is a special case of both a kite and a rectangle. 6. Therefore, a square is a kite because it has two pairs of adjacent equal sides (in fact, all sides equal), and it is a rectangle because it has four right angles. 7. In summary, a shape can be both a kite and a rectangle if it is a square.