How do you test the connectivity within your networks?

simply just ping the system with in the network.

Go to Start > Run and type cmd.
You can also search for cmd.exe in the Windows Search function.
          2 Press OK to launch Windows Command.
This is the default command-line interface for Windows.
          3 Test the loop-back address.
Type ping127.0.0.1 (it is the same for every computer, so you do not need to change this).
This will test your computer's network chip, not your modem, router, or Internet connection.
          Press Enter to begin pinging.
          Place -t at the end of the command to perform continuous testing.
          To exit continuous testing, press Ctrl+C.
          Place -n20 at the end of the command to send20 pings.
Replace the number20 with any value (the value will be limited to a32-bit or64-bit integer).
          If everything is correct, you will see something like:           Look at the ping statistics.
They should report a0% loss.
          Keep an eye on the response time, as it represents the connection's latency between you and the server.
Double digit values (such as50ms, or lower) are very good.
This varies drastically depending upon where the server is in relation to your computer.
Generally, most connections should have latency less than a few hundred milliseconds.
If there is no network connection, you will see the output "Request timed out" repeated.
            4 Test your local gateway.
Find your default gateway's IP address:Type ipconfig in the command prompt window.
          Press Enter.
The command prompt will then display the output from the ipconfig command.
          Find the listing for "Default Gateway".
This is the IP you can use in a ping to test the connection between your computer and your router or ISP.
            5 Test beyond your local network.
Test the connectivity of your modem, router, network, or internet connection by using an IP address on the Internet.
          6 Check domain name resolution.
Instead of an IP address, type in a site's domain name, such as www.google.com.
Pinging a domain name tests your computer and network's ability to resolve network names (translating them to IP addresses).
          7 Measure network and internet performance (Windows NT,2000, XP, and Vista only).
Use the tracert command to measure the response of each hop in a network path.
Your connection to any one server will require multiple "hops" between other servers and networking components.
The fewer number of hops, the better.
Most connections to a server on the Internet will include at least a dozen hops.
To test:With the command prompt open, type tracert xxx.xxx.xxx.xxx, replacing xxx.xxx.xxx.xxx with an IP address on the internet.
          Press Enter and watch as each hop is pinged and logged.
The first ping should be your computer, modem, or router, and the last ping should be your target address.

Connection between websites :ping (websites) -t    Connection between two computers : ping (computer ip) -t

its simple  ping  Ip will let you test the network connectivity .

Connection between websites I do not understand you this question, make more specific like you want to test internet connectivity, website performance and optimization or broken link, online URL validator - bad/dead.
 Connection between two computers 1.
Check the loop-back address by typing ping127.0.0.1 (it is the same for every computer, so you do not need to change this).
This will make sure your computer's NIC card.
2.
Check the physical network connectivity like cable or Wi-Fi connection plug/unplug.
3.
Check IP address, sub net mask and default getaway. 
     4.
Ping your default getaway if it is ok then repeat the above stapes for other computer.
5.
Finally ping one computer to other; I think that’s all you have to do.

using ping to gateway or some dns outside to check it line conect to internet or router

u can use ping command in command prompt.
  syntax : ping192.168.1.10  ping192.168.1.10 -t  for continues transmission

hi Its very simple dear and b tested in few steps.
first lets start with website connectivity 1.
open command prompt (how...
type cmd in Run command) 2.
type "ping" space "website address".
e.g.
ping www.yahoo.com (now if u are able to receive msg like "Reply from

To test the connectivity within your LAN, there are many utilities or built in softwares in your system that can be used to test these. one is Command prompt by using the "ping" command. 

i think that this answer is the best answer you have that i saw another one sending it to you Connection between two computers 1.
Check the loop-back address by typing ping127.0.0.1 (it is the same for every computer, so you do not need to change this).
This will make sure your computer's NIC card.
  2.
Check the physical network connectivity like cable or Wi-Fi connection plug/unplug.
  3.
Check IP address, sub net mask and default getaway. 
       4.
Ping your default getaway if it is ok then repeat the above stapes for other computer.
5.
Finally ping one computer to other; I think that’s all you have to do

To MR.
Talukder Rizvi Ahmed Suman Re: Connection between websites What I mean is how can we check the internet connectivity between websites.
For example, I want to check the connections between me and yahoo.com.
How?