Thomas M: A limousine and an old rattle-trap truck may both get you down the road and you can put luggage in the back of both but they are not the same!!
So, by way of explanation, tractors are purchased as the tractor only. Any equipment intended for its use must be purchased separately (maybe they all come in a bundle price, but each is separate). IH Cub Cadet Garden Tractors, like the A's, Cubs and LowBoys, are included in this because they have drive shafts are capable of ground engaging operations. The original purchaser could have purchased a rotary belly mower for it (and apparently did in your case) and could also have purchased ground engaging equipment like plows, rakes, tillers, dirt/snow blades, etc., for it (apparently you didn't get them if he/she did).
IH Cadet Lawn Tractors (note they are called Cadet not Cub Cadet) are best described as tractor-style riding lawn mowers and are belt driven. Most IH lawn tractors used a Brigg & Stratton (B&S) engine as well having as belt driven power. They also come with a mowing deck (not purchased separately). They are much lighter duty and are <u> not intended</u> for ground engaging use. IH did provide a front blade for them for snow removal, which they can handle to some degree. There was also a snow blower for them. <u>BUT</u> no plows, rakes, dirt blades, tillers, or other ground engaging equipmnent was/is available for them. They are basically just lawn mowers.
This forum provides discussion space for both categories. Ya just get better answers when you use the one intended. Welcome to the Forum & Cub Cadet collecting...
Myron B