What is the definition of a square in geometric terms?

A square is defined as a special type of rectangle and a special type of rhombus. This means that a square possesses all the properties of a rectangle, which includes having four right angles and opposite sides that are equal in length, as well as all the properties of a rhombus, where all four sides are of equal length. Consequently, a square has both equal sides and equal angles, meeting the criteria for both types of shapes.

A rectangle is a quadrilateral with equal angles (90 degrees), and a rhombus is characterized by having all sides the same length. The square merges these properties by having four equal sides and four right angles, making it a unique and defined geometric shape that encapsulates attributes from both rectangles and rhombuses. This makes it a fundamental shape in geometry with specific characteristics that are clearly distinguished from other types of quadrilaterals.