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Consider a unit square centered at origin. The coordinates at the square are translated by a factor $\biggr( \dfrac{1}{2}, 1 \biggl)$ and rotated by an angle of $90^{\circ}$. What shall be the coordinates of the new square?

  1. $\biggr(\dfrac{-1}{2},0 \biggl), \biggr( \dfrac{-1}{2},1 \biggl),\biggr( \dfrac{-3}{2},1 \biggl),\biggr( \dfrac{-3}{2},0 \biggl) \\$
  2. $\biggr( \dfrac{-1}{2},0 \biggl), \biggr( \dfrac{1}{2},1 \biggl),\biggr( \dfrac{3}{2},1 \biggl), \biggr( \dfrac{3}{2},0 \biggl) \\$
  3. $\biggr( \dfrac{-1}{2},0 \biggl), \biggr( \dfrac{1}{2},0 \biggl),\biggr( \dfrac{-3}{2},1 \biggl), \biggr( \dfrac{-3}{2},0 \biggl) \\$
  4. $\biggr( \dfrac{-1}{2},0 \biggl), \biggr( \dfrac{1}{2},1 \biggl),\biggr( \dfrac{-3}{2},1 \biggl), \biggr( \dfrac{-3}{2},0 \biggl)$
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