1. The problem is to explain what a square is and draw it. 2. A square is a special type of quadrilateral where all four sides are equal in length and all four angles are right angles (each measuring 90 degrees). 3. The properties of a square include: - All sides are equal: $AB = BC = CD = DA$ - All angles are right angles: $\angle A = \angle B = \angle C = \angle D = 90^\circ$ - Opposite sides are parallel: $AB \parallel CD$ and $BC \parallel DA$ 4. To draw a square, we start with one side and then construct perpendicular lines at each endpoint of that side, ensuring all sides are equal. 5. Here is a simple representation of a square with vertices labeled $A$, $B$, $C$, and $D$: $$\text{Square } ABCD \text{ with } AB = BC = CD = DA \text{ and } \angle A = \angle B = \angle C = \angle D = 90^\circ$$ 6. This shape is a perfect square because it satisfies all the properties mentioned above.