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20160601 1045 What is a Square

What is a Square?

In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length.

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.
  • 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.)
  • All four sides of a square are equal.
  • The diagonals of a square are equal.
  • The square is the n=2 case of the families of n-hypercubes and n-orthoplexes.

- via wiki.

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What is a Triangle?

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