A transformer is an impedance reflecting device essentially although you can think of it differentially.
Vpprimary/Iprimary = Vsecondary/Isecondary wich is power transfer, conservation of energy, lay of mother nature
Vprimary/Iprimary = Zprimary, also Vsecondary/Isecondary = Zsecondary, from above V/I = impedance
Volts/turn / Amper-turns = Vprimary/Nprimary / Iprimary*Nprimary = Zprimary/Nprimary^2 (turns squared
Secondary equation follows from primary, fill in the blank.
So then what you get is: Zprimary/Nprimary^2 (turns squared = Zsecondary/Nsecondary^2 (turns squared)
So say you want to match the primary impedance with something connected to the secondary. Say Zprimary = 50 Ohms and Nprimary/Nsecondary = 10, what must the impedance in the secondary be if it is to match the primary 50 Ohms?
Simple: 50 Ohms * (1/10)^2 => 50Ohms * Nseconday^2/Nprimary^2
50 Ohms / 100 = 1/2 Ohm. You can verify this by using Vprimary^/50 = Vsecondary^/(1/2)
If Vprimary is 10V, that makes Vsecondary 1 V, so 100/50 = 2 & 1/ (1/2) = 2
Not rocket science.