A family of hybrid electric transmissions operate in at least three modes based on selective engagement of shift elements. In a low mode, torque in a mechanical power flow path is multiplied for better low speed performance. At higher vehicle speeds, the transmission shifts into a high mode to improve efficiency. Some embodiments include a reverse mode. In other embodiments, a series mode may be used in reverse. The shift elements may include friction clutches, positive engagement clutches, and controllable one way clutches.