  Pedal and contrapedal curves are important study objects of plane curves. As
for a mixed-type Minkowski plane curve, since the definitions of the pedal and
contrapedal curves at lightlike points can not always be given, the
investigation of them is difficult. We have done some research on the pedal
curves of a mixed-type curve. In this paper, we discuss when the contrapedal
curves of a mixed-type curve exist and give the definition of them when they
exist. Then, we study when the contrapedal curves of the mixed-type curve have
singular points. Meanwhile, we consider the types of the points on the
contrapedal curves. Moreover, we investigate the relationship between the pedal
and contrapedal curves of a mixed-type curve, as well as the relationship among
them and the evolute of the base curve.
