I find Autograph very intuitive for illustrating transformations. It is very simple to enter a shape and transform it. The shape can be user-defined so it is very easy to set up illustrations. It is also very simple to add labels. With Autograph when you select objects then right-click you get a menu of appropriate choices, selecting an object and equation offers the option to reflect. Note that these illustrations and instructions are for the downloaded software. (I will update shortly to include the web version instructions also.)
