during installing router what networking components are needed in the internet protocol (tcp/ip) properties setup
What kind of router are you referring to?
On a top/ip network, for the hosts to communicate the need to have a unique ip assign within the local subnet.
You need the ip and subnet mask at a bare minimum. To get out of the subnet, the hosts require a default gateway which is the ip of the router's interface.
For name resolution, you need DNS.
Please clarify your question.
IP routers are typically layer 3 devices, but certain models can route based on higher levels of the protocol stack.....