Pair usually refers to "Pairing" bluetooth devices.
The trouble is... Bluetooth is a slow medium for movie transfer and is limited to around 10 meters (yards)
I used to use an adapter which plugged in to the iPad and the HDMI cable plugged in to the other side of the adapter. Then the HDMI was connected to a Digital TV HDMI input.
But that was way back on iPad 1. (2009)
Now days it's a lot easier.
Simply swipe up from the screens bottom. That reveals the AirPlay icon if you are using the $69 Apple TV2. The ATV is connected to the HDTV via a HDMI cable. Simple & works Great!
An App called Air Video HD on the Tablet allows you to choose a Hard Drive Video File for play back on your HDTV.
The Air Video HD developer provides a free piece of Server software for installation on the computer. This is used to point to the Movie files and serves video to HDTV via the App.
I just noticed you didn't mention which tablet you have, so I guess the above would only apply with iPad. Android would take a different approach depending on what version your using and what hardware platform you have.
Air Video HD Now with multitasking and PiP support on the App Store
Bluetooth Wikipedia the free encyclopedia
iPad 4th generation Technical Specifications