Square - Properties

Properties

A square is a special case of a rhombus (equal sides, opposite equal angles), a kite (two pairs of adjacent equal sides), a parallelogram (opposite sides parallel), a quadrilateral or tetragon (four-sided polygon), and a rectangle (opposite sides equal, right-angles) and therefore has all the properties of all these shapes, namely:

  • The diagonals of a square bisect each other and meet at 90°
  • The diagonals of a square bisect its angles.
  • The diagonals of a square are perpendicular.
  • Opposite sides of a square are both parallel and equal in length.
  • All four angles of a square are equal. (Each is 360°/4 = 90°, so every angle of a square is a right angle.)
  • The diagonals of a square are equal.

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Famous quotes containing the word properties:

    A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.
    Ralph Waldo Emerson (1803–1882)

    The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.
    John Locke (1632–1704)