Final answer:
The region where an axon terminal connects with its target cell is known as a synapse, a critical structure for neuronal communication.
Step-by-step explanation:
The region where the axon terminal meets its target cell is referred to as the synapse. A synapse is a crucial point in the nervous system where signals are transmitted between cells. When an action potential arrives at the axon terminal, neurotransmitters are released into the synaptic cleft, which is a small gap separating the axon from the dendrites of the next cell. These neurotransmitters bind to receptors on the dendrite's membrane, potentially triggering a new action potential in the receiving cell. This intricate process is essential for the communication between neurons and other cells in the body.