The student is wrong, just because the analogous structures of any two organism may have the same structure or even have the some relation between there way of operation or functions.

Explanation:

Analogous Structures:

As the similarity between two or more different organisms structure or any organ does not means that they have same ancestors or have the common origin from which the evolve into two different species. Now analogous structures are very much similar in there structure physically, but two different organisms may use them for the same function, which is astonishing to see or observe in way different species.

For example:

As the structure of the flipper of a Dolphin has similarity with the phalanges of a human being and with the wings of the bat. As all of them functions for the basic need of movement or locomotion from one point to another. While, all the three species are very much different in there features and are not the same obviously.