SVGs show up in media bin, don't display on canvas

In the media bin, I’ve loaded a bunch of different SVGs with transparent backgrounds.
None of them will display on the canvas. I’ve tried putting them on top of other layers, putting them under other layers, tried several compositing options, nothing looks to do it.
The image doesn’t show up in a preview plugin, but the (correct) thumbnail does show up in the media bin.
How can I use my pretty little vector images?