Gingerbread dog's head

How would you cut this gingerbread dog's head into two pieces of the same shape ?

Here is a practical problem in simple division calculated to baffle some puzzlists.
Toodles has received the present of a gingerbread dog's head and is told that
she must divide it evenly with her little brother.
In her anxiety to be fair and equitable in the matter, she wishes to discover some way to divide the cake into two pieces of equal shape and size.
Come to her assistance by showing how the dog's head may be divided.

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