NOT a dumb question at all!!!!!!
The backing plate is the piece that mounts the pad to the machine.
In general there are two styles of backing plates- hook & loop (Velcro brand) and center mounting.
Hook & Loop- These are the standard type of backing plate. They attach to your machines spindle. The face of the backing plate has some type of hook (or loop) attachment. For the most part these are very general and interchangeable.
Center Mounting- These backing plates are used with double sided pads that have a backing plate built into the pad. They are either a quick-connect style or a screw on style. These only work with specific pads.
As far as Hook & Loop style, you have two basic types: Rotary and DA. Rotary backing plates feature a female attachment that threads onto the rotaries spindle. DA backing plates feature a small stud that threads into the DA polisher.
As far as which plate to use with what pads, make sure you get the appropriate style (rotary or DA). Note that all popular machines (the ones sold at Autopia-CarCare) have the same size mounting options. You can use any of our DA backing plates with a Porter Cable 7424 XP, Griot's Polisher, or Meguiar's G110v2. The same goes for the rotary backing plates, they will fit Makita 9227c, Hitachi 18SVP, Flex rotaries, DeWalt rotaries and more.
The next step is to select the correct size for your pads. In general you want a lip around the outside of the pad (your backing plate should be smaller than the pad).
A 3 inch backing plate would be ideal for 3.5-4.5 inch pads
A 5 inch backing plate would be ideal for 5.5 inch or 6.5 inch pads (the latter having more safety margin but being a little less efficient.
A 6 inch backing plate works with 6.5 inch-7.5 inch pads
A 7 inch backing plate works with 8.5 inch pads.