Step 1: Recall basic properties of TCP.
TCP (Transmission Control Protocol) is a connection-oriented, reliable, and full-duplex transport layer protocol.
It ensures reliable communication between a client and a server using well-defined connection establishment and termination procedures.
Step 2: Analyze option (a).
TCP supports simultaneous data transmission in both directions.
Hence, TCP is full duplex, not half duplex.
Option (a) is incorrect.
Step 3: Analyze option (b).
TCP connection establishment uses the three-way handshake:
\[
\text{SYN} \rightarrow \text{SYN+ACK} \rightarrow \text{ACK}
\]
This mechanism synchronizes sequence numbers and establishes a reliable connection.
Option (b) is correct.
Step 4: Analyze option (c).
Connection termination in TCP involves a four-segment handshake.
Although both sides may close independently, closing is not related to data transmission start and cannot occur simultaneously in the described manner.
Option (c) is incorrect.
Step 5: Analyze option (d).
In TCP, either the client or the server can initiate connection termination.
There is no restriction that only the client must initiate closing.
Option (d) is incorrect.
Step 6: Conclusion.
The correct statement regarding TCP connections is:
\[
\boxed{\text{The client and server use a three-way handshaking mechanism}}
\]