Escape the dot .
. As .
means "anything", you have to escape it to make it mean just .
:
$ sed 's/\.images/.\/images/g' file
"images": [
"./images/phones/motorola-xoom.0.jpg",
"./images/phones/motorola-xoom.1.jpg",
"./images/phones/motorola-xoom.2.jpg"
],