Answer :
A square is a four-sided polygon that is notable for its perfectly equal sides and angles. Here’s a detailed description of a square:
1. Number of Sides:
A square has exactly 4 sides. This is a defining feature of any quadrilateral, of which square is one type.
2. Length of Sides:
All four sides of a square are equal in length. This property differentiates squares from other quadrilaterals such as rectangles (where opposite sides are equal) and parallelograms (where opposite sides are parallel but not necessarily equal).
3. Interior Angles:
Each interior angle of a square is 90 degrees. Since the sum of the interior angles of any quadrilateral is 360 degrees, and a square has four equal angles, each angle must be [tex]\( \frac{360^\circ}{4} = 90^\circ \)[/tex].
4. Regular Polygon:
A square is classified as a regular polygon. A regular polygon is a polygon with all sides and all angles equal. Since a square fulfills both these criteria, it is one of the simplest examples of a regular polygon.
In summary, a square is a unique and highly symmetrical shape characterized by 4 equal sides, each side meeting at a right angle (90 degrees), making it a regular polygon.
1. Number of Sides:
A square has exactly 4 sides. This is a defining feature of any quadrilateral, of which square is one type.
2. Length of Sides:
All four sides of a square are equal in length. This property differentiates squares from other quadrilaterals such as rectangles (where opposite sides are equal) and parallelograms (where opposite sides are parallel but not necessarily equal).
3. Interior Angles:
Each interior angle of a square is 90 degrees. Since the sum of the interior angles of any quadrilateral is 360 degrees, and a square has four equal angles, each angle must be [tex]\( \frac{360^\circ}{4} = 90^\circ \)[/tex].
4. Regular Polygon:
A square is classified as a regular polygon. A regular polygon is a polygon with all sides and all angles equal. Since a square fulfills both these criteria, it is one of the simplest examples of a regular polygon.
In summary, a square is a unique and highly symmetrical shape characterized by 4 equal sides, each side meeting at a right angle (90 degrees), making it a regular polygon.