Why won't my ipad connect to tv with hdmi and play itunes movies?

Are you using Apple TV or connecting to a smart TV?

You can connect via a cable or wireless using an Apple TV.

http://ipad.about.com/od/iPad_Guide/a/How-To-Connect-Your-Ipad-To-Your-Tv.htm

Connect an iPad to a Television or Projector

http://www.everymac.com/systems/apple/ipad/ipad-faq/how-to-connect-ipad-to-tv-te levision-projector.html

Connecting iPad iPhone or iPod to TV or Projector

http://www.disabled-world.com/assistivedevices/computer/ipad-tv.php

iPad Accessories: Connections for a TV or Projector

http://www.dummies.com/how-to/content/ipad-accessories-connections-for-a-tv-or-p rojector.html

You may be interested in AirPlay on the Apple TV:

Apple - AirPlay - Play content from iOS devices on Apple TV

http://www.apple.com/airplay/

Alternately, there are Apple Digital AV Adapters for hardwired connections:

iOS: About Apple Digital AV Adapters

http://support.apple.com/kb/ht4108

http://support.apple.com/kb/ht5209

http://support.apple.com/kb/ht4437

http://support.apple.com/kb/TS4215

 Cheers, Tom 😉