What kind of steak is this? I'm trying to identify what this steak is typically called, so I can know whether I am trimming and preparing it properly. I've been unable to find any photos of similar cuts.

I recently purchased a side of beef and we have some packs labelled "rib steak". These steaks look like this:



The steak is wedge-shaped. As I've indicated, a curved rib bone runs along one edge of the steak, and a strip of thick tissue runs along the other edge. About half of the cut (the narrower half) is mostly fat. When I trim this steak, I end up with the portion which I've colored red in my drawing.

Thanks in advance.
I believe that you have what's commonly known as a rib eye. It comes from the same primal as the prime rib roast (or standing rib roast). Rib eye steaks are also known as rib steaks, delmonicos, scotch filets, etc. They can be found bone in or boneless and with the fat caps trimmed or not. It sounds to me like you have a bone in rib eye that hasn't had the fat trimmed.