A square is one of the most fundamental shapes in geometry. It is defined as a quadrilateral with four equal sides and four right angles. Each angle measures exactly 90 degrees, making it a regular polygon.
A square has several important properties. All four sides are equal in length. Each of the four angles is a right angle, measuring 90 degrees. The diagonals are equal in length and intersect at right angles, bisecting each other at the center.
There are three key formulas for squares. The perimeter equals four times the side length. The area equals the side length squared. The diagonal length equals the side length times the square root of two, which comes from the Pythagorean theorem.
A square is a special type of quadrilateral. It is both a rectangle with equal adjacent sides and a rhombus with right angles. It is also a parallelogram with equal sides and right angles. Among all quadrilaterals, the square is unique as the only regular quadrilateral, meaning all sides and angles are equal.
A square is one of the most important shapes in geometry. It has four equal sides and four right angles of 90 degrees each. All corners look exactly the same, and opposite sides are parallel to each other.
Squares have many important mathematical properties. The perimeter equals 4 times the side length. The area equals the side length squared. The diagonal equals the side length times square root of 2. A square has 4 lines of symmetry and is classified as a regular polygon.
A square is special among quadrilaterals. A rectangle has four right angles but sides aren't necessarily equal. A rhombus has four equal sides but angles aren't necessarily 90 degrees. Only a square has both equal sides AND right angles, making it the most regular quadrilateral.
Let's calculate the properties of a square with side length 4 units. The perimeter is 4 times 4, which equals 16 units. The area is 4 squared, which equals 16 square units. The diagonal is 4 times square root of 2, which is approximately 5.66 units.
Squares have countless applications in our daily lives. They appear in architecture and construction for their structural stability. Artists use squares in design for balance and harmony. In mathematics, squares are fundamental to many concepts. Computer graphics rely on square pixels, and many games use square grids. The square symbolizes perfection, balance, and stability across cultures.