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Think of it in terms of a Smith Chart when you think of SWR and feedline impedance transformation.  You have the middle point, which is a perfect match and a 1:1 SWR.  Elsewhere on the chart, you have all other combinations of impedance and reactance.


Using the match point and any other point on the smith chart you can use a compass and make a circle, that circle shows us two things.  One, all of the points (or combinations of reactance and impedance) on the smith chart that have the same SWR, and two, the results of the transformer action of a (admittedly theoretically perfect lossless) feedline as you travel away from the load.  These circles are exactly the same.


If you factor in feedline losses as you travel down the feedline that circle becomes a spiral, spiraling towards the perfect match point.



The DB