A SSD drive can be a SATA drive. SATA is the connection/protocol between the drive and the computer.
Not quite. SATA is a type of drive, same as IDE / ATA, SCSI, SATA :)
I disagree. :)
IDE/ATA, SATA, SAS, SCSI are all just interfaces. The underlying media, whether spinning rust or MLC/SLC NAND Flash is the drive.
So SSD's can be SATA, SAS, built into custom PCIe cards (OCZ Revo Drive's & the ilk) or even ATA (never seen one). Regardless it's still an SSD drive.