Find complex numbers obtained by geometric transformations


If the complex number z is imagined as a point in the complex plane, then its conjugate z is the point obtained from z by reflecting in the real axis. What are the complex numbers obtained from z by the following geometric transformations?

(a) 180orotation about 0.

(b) Reflection in the imaginary axis.

(c) 45oclockwise rotation about 0.

(d) Reflection in the line y = x.

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Mathematics: Find complex numbers obtained by geometric transformations
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