Complex Analysis
Show all work to determine the final coordinates of the following object undergoing geometric transformation. Do not solve; leave as a set of equations that are ready to solve (you must define all matrices and show the order). Assume positive rotations are counterclockwise about the positive axis. The object is shown in its initial position and undergoes a series of geometric transformations in the following order:
a) Make five rough sketches to show the object after steps b), c), d), e), and f). Label the axes and vertices on the plot to show the orientation of the prism.
b) The object is rotated -90° about the origin.
d) It is reflected about the x =-1.
c) It is translated such that the transformed point D lies at the origin.
e) It is rotated 90° about the transformed point D.
f) It is reflected about the line that goes through transformed points C and B.
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