What SunnySkyguy says plus audio device such as a low impedance microphone can be used into a preamp with a low impedance input, while a high impedance microphone would not work at all. So there is a rough impedance match required. Likewise for the audio power amplifiers, they are designed to put their rated power into a loudspeaker with a certain impedance (now a days its 8 ohms). They will work with a different loudspeaker and still meet all of their specifications EXCEPT the power output.
The most critical matching is for high power transmitter circuits. if the matching to the aerial is not spot on and 2% of the power is reflected. because this reflected power can be kilowatts and the output circuits cannot absorb this power, very high voltages will be present and cause real flash overs and the demise of an expensive transmitting valve (tube). High power solid state amplifiers also suffer from this problem. At lower power levels optimum noise factors cannot be realised and frequency responses become "tilted" due to the reflected part of the input signal setting up standing waves on the lines connecting circuits.
Methods of matching and their tuning can only be described as per that one equipment. Obviously the matching circuit is meant to transform one impedance to appear to be another. i.e. a 75 ohm aerial may be matched to a 200 ohm transistor input impedance. In general the match and loss should be within specification across the frequency band required. So there are many variables that may have to be balanced out against each other.
Frank