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No, a four sided shape is not always a square. The mathematical name for a four sided shape is a QUADRILATERAL. The definition of a square is a four sided shape with four equal sides and angles, internal angles totalling 360 degrees and four lines of symmetry. If a shape has all of these properties, it is a square.

Possibilities for a four sided shape are

  1. As said above, all are called quadrilaterals, but some have special properties
  2. A Parallelogram, which has opposite sides parallel to each other
  3. a Rhombus, which has all sides equal and parallel, but not necessarily with right angles
  4. A Rectangle, which is a parallelogram with right angles.
  5. A Square, which is a rhombus rectangle. All four sides equal, all angles equal and right, all diagonals bisecting each other. It really is hip to be square.
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Q: Is it true that a four sided shape is always a square why?
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