I would point out that the PMBOK 5th edition section 184.108.40.206 starts with the following sentence:
The Perform Quality Assurance process uses the tools and techniques of the Plan Quality Management and Control Quality processes.
It then goes on to list some "other tools that are available". I would also ask you to review Figure 8-9, which demonstrates the data flow for the Perform Quality Assurance process. This clearly shows that items from Plan Quality Management and measurements from Control Quality are both inputs into Perform Quality Assurance. I believe that it is for this reason that the T&T list names the item as "Quality managment and control tools" -- since the tools of those two processes are basically inputs into this one!
Hopefully this helps to shed some light on the situation.
In the PMBOK there are two set of Quality Tools. 1. the basic seven and 2. Quality Management and Control Tools. Are these used in all three quality processes. I don't see Quality Management and Control Tools mentioned in the Control Quality process. odd since Control tools is in its name. if they are not used, why not?