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Math Question

Rectangle \( \mathrm{A}^{\prime} \mathrm{B}^{\prime} \mathrm{C}^{\prime} \mathrm{D}^{\prime} \) is simllar to rectangle \( \mathrm{ABCD} \), as shown on the coordinate plane below.
Which sequence of transformations maps rectangle \( A B C D \) onto rectangle \( A^{\prime} B^{\prime} C^{\prime} D^{\prime} \) ?
a translation 8 units to the left, then a dilation by a scale factor of \( \frac{1}{2} \) with a
A center of dilation at the origin
a reflection over the \( y \)-axis, then a dilation by a scale factor of \( \frac{1}{2} \) with a
B center of dilation at the origin
a dilation by a scale factor of \( \frac{1}{2} \) with a center of dilation at the origin, then a \( 90^{\circ} \) counterclockwise rotation about the origin
a \( 90^{\circ} \) counterclockwise rotation about the origin, then a dilation by a scale factor D of \( \frac{1}{2} \) with a center of dilation at the origin

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