Just dug up this answer while trying to fix a bug, while the suggested answer is correct I have found that it breaks most modern CSS Linting rules regarding the inclusion of all vendor rules for the transform. However, including the -ms-tranform rule causes an odd bug in IE9 where it applies the filter and -ms-transform rules causing an image to flip and flip back again.
Here is my suggested improvement which also supports CSS Lint rules:
.flip-horizontal {
-moz-transform: scaleX(-1);
-webkit-transform: scaleX(-1);
-o-transform: scaleX(-1);
-ms-transform: scaleX(1); /* linting rule fix + IE9 fix */
transform: scaleX(-1);
-ms-filter: fliph;
filter: fliph;
}
.flip-vertical {
-moz-transform: scaleY(-1);
-webkit-transform: scaleY(-1);
-o-transform: scaleY(-1);
-ms-transform: scaleY(1); /* linting rule fix + IE9 fix */
transform: scaleY(-1);
-ms-filter: flipv;
filter: flipv;
}