The coordinates of polygon ABCD are:
[tex]A\mleft(8,12\mright),B\mleft(10,4\mright),C\mleft(4,4\mright),D\mleft(2,8\mright)[/tex]Step 1: Reflect ABCD over the x-axis.
[tex]A^{\prime}\mleft(8,-12\mright),B^{\prime}\mleft(10,-4\mright),C^{\prime}\mleft(4,-4\mright),D^{\prime}\mleft(2,-8\mright)[/tex]Step 2: Dilate by a scale factor 1/2 centred at the origin.
[tex]A^{\doubleprime}(4,-6),B^{^{\doubleprime}}(5,-2),C^{\doubleprime}(2,-2),D^{^{\doubleprime}}(1,-4)[/tex]