How do I change the color of the selected white rectangle to transparent?

So far as I know, that rectangle is the AI document, is that right?
I have a white SVG rectangle with brushed edges on it.
When I see this in Adobe Bridge file manager, I can only see a white rectangle, and that's not good because I must see that it has a transparent background.
Because when I place this into InDesign, for example, the background IS transparent.
And as you can see for the rectangle is set "no color", so I don't know why does it show as white in Illustrator and in Adobe Bridge, but not in InDesign?
