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