Quadrilateral A'B'C'D' is the image of ABCD under a transformation. Draw ABCD and state its coordinates.

It appears that the coordinates for quadrilateral A'B'C'D' are missing from the question. Without these coordinates, it is not possible to draw ABCD or A''B''C''D'' or state their specific coordinates. However, I can explain the method and solve the parts that do not require specific coordinates.

a) A'B'C'D' is the image of quadrilateral ABCD under a transformation whose matrix is $\begin{pmatrix} 2 & 0 \\ 1 & 1 \end{pmatrix}$. On the same set of axes, draw A B C D and state its coordinates.

The coordinates of A'B'C'D' are not provided. To find the coordinates of ABCD, we would use the inverse of the given transformation matrix.