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Square (2d)

A square is a four-sided shape (quadrilateral) with four equal sides and four right angles. It's characterized by having parallel opposite sides, equal and perpendicular diagonals, and four lines of symmetry. Squares also have rotational symmetry, meaning they appear the same after a 90-degree rotation. Here's a more detailed breakdown of the geometrical properties of a square:

Sides and Angles:

Four equal sides: All sides of a square are the same length.
Four right angles: Each interior angle measures 90 degrees.
Parallel sides: Opposite sides are parallel to each other.

Diagonals:

Equal length: The two diagonals connecting opposite corners are equal in length.
Bisect each other: The diagonals cut each other in half.
Perpendicular: The diagonals intersect at a 90-degree angle.

Symmetry:

Four lines of symmetry:

A square has four lines of symmetry, which are the lines connecting the midpoints of opposite sides and the diagonals.

Rotational symmetry:

A square has rotational symmetry, meaning it appears the same after a 90-degree rotation.

Area and Perimeter:

Area:
The area of a square is calculated by squaring the length of one side (side * side or side²).
Perimeter:
The perimeter of a square is calculated by multiplying the length of one side by four (4 * side).