given an image and its fourier transform, find another image fft using fourier properties
Imagine the same problem in 1-dimension and you will be able to find the answer.

Hint: If you know the Fourier transform of a delta function (or time-shifted delta function) and the Fourier transform of a rectangular window, then you should be able to answer the above problem.

P.S. Cannot comment because I need 50+ reputation to do so.