275-0217 That's not a "12V relay". It's a relay with a 120vac coil (!), so that's not happening in our Arduino context.
[ RadioShack.com Official Site - America's Technology Store ]
Return it.
Exchange it for a transistor or two - RadioShack.com Official Site - America's Technology Store
and get some resistors, too, 1Kohm (1/4W, 1/2W, whichever).
PS,
Add a couple of 1N4001 (or 1N400x whatever they have) diodes to that list.