Should Transformer Impedance Match Between Primary and Secondary Coils?

[seto6]

Homework Statement

Hello, i just a have a doubt regarding the transformer impedance, my professor told me that the impedance before the primary coil should match the net impedance seen by the secondary coil, is that correct, i am not so sure about it.

I would really appreciate it if you can help me with it. Thank you in advance.

Homework Equations

N/A

The Attempt at a Solution

I tried to explain it by picture, if that can help you aid what my question is:

 

[rock.freak667]

It is not always the same. For analysis, it is simpler to refer the impedances to one side and then start the analysis.