The trapezoid is shown in the sketch below in its original position.
The initial coordinates of the vertices are A(4,2), B(7,2), C(9,5),
and D(2,5). The trapezoid is reflected about line DC, and then is
translated such that the transformed point B coincides with the
origin and then finally is rotated 45o CCW about the transformed
Point D. Determine the final transformed coordinates of the
vertices: A’, B’, C’, and D’.