Defining transformations
luka tried to define a rotation about point c.
. for the center point c, the image c' is at the same point as c.
• the distances between each pre-image and its image are all equal.
for a point p that is not at c, a counterclockwise rotation of about point c creates point p', such
that cp=cp and mzpcp = 0.
which counterexample shows that luka's definition does not define a rotation?