Square

A square is a quadrilateral with four equal sides and four right angles. Its opposite sides are parallel, and its diagonals are equal, perpendicular, and bisect each other.

Quadrilateral: A polygon with four sides and four vertices. A square is a quadrilateral with additional constraints on its sides and angles.
Diagonal of a square: A line segment joining opposite vertices of a square. The two diagonals are equal, perpendicular, and bisect one another.
Area: A measure of the size of a two-dimensional region. A square’s area equals the square of its side length.
Rectangle: A quadrilateral with four right angles. Every square is a rectangle, but a rectangle need not have four equal sides.
Polygon: A closed plane figure formed from a finite sequence of straight line segments. Squares belong to the polygon family and inherit its basic geometric structure.
Reflection symmetry: Invariance of a figure under reflection across a line. A square has four reflection axes: two through opposite sides’ midpoints and two through opposite vertices.
Perimeter: The total length of the boundary of a two-dimensional figure. A square’s perimeter is four times its side length.
Rhombus: A quadrilateral with four equal sides. Every square is a rhombus, but a rhombus need not have right angles.
Right angle: An angle measuring 90 degrees. Four right angles are part of the square’s defining conditions.
Rotational symmetry: Invariance of a figure under rotation about a fixed point. A square maps onto itself under rotations by 90-degree increments about its center.

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