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The square is the regular polygon with four sides. It is a particular case of rectangle (rectangle with equal adjacent sides) and rhombus (rhombus with right angles).

 

Properties:

  • the opposite sides are parallel;
  • all sides are congruent;
  • all angles are right;
  • the adjacent sides are perpendicular;
  • aria A = {\ displaystyle S = l ^ {2}} l2
  • perimeter {\ displaystyle P = 4l} P = 4l
  • diagonal d = {\ displaystyle d = l {\ sqrt {2}}}
  •  radius of the circumscribed circle {\ displaystyle R = {\ frac {l {\ sqrt {2}}} {2}}} R = {\ displaystyle (R = {\ frac {d} {2}})} {\ displaystyle a = {\ frac {l} {2}}}
  • the diagonals are congruent and perpendicular;
  • diagonals are also bisectors of angles;
  • the means of the sides form another square;
  • it has four axes of symmetry.

 

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https://tactileimages.org/wp-content/uploads/2019/03/MAT-patrat.png