In as much would the ability to misuse Mathcad as a drawing program help for your exam?
The picture you show may gave been created with Mathcad and then modified using any drawing prog.
It sure is very easy to draw the line segment in Mathcad and with a little work you will also be able to draw the circular arc and even an arrowhead. Ther problem here is the scaling. How long should the arrow head be, what radius should the circle have? Always 1? Or rather always 20% of the magnitude of the complex number shown? And if you don't (can) use equal scales in your plot, the circle will be an ellipse and the arrowhead will look distorted.
Furthermore it would be really very difficult to add automatic labelling, writing "arc(z)" next to the arc and "|z|" next to the line (look at the "Amazing Images.." e.book for things like that.
So unless there isn't any special need you didn't mention, just use your favorite drawing program to create an illistration of the Gauß plane.