I'm also a bit confused by this post.
Each blue dot covers a symbol. Briefly hover over (don't click) each dot to see what symbol is under it. After you see which symbols are under which dots, click on one of the dots. Then click on the other dot that has the same symbol under it. The dots will still be blue, but now the symbol under them will be shown permanently, and there will be a highlighted line between the dots. Then move to the next symbol pair. You can select the pairs in any order.
This is how it worked in the original game, and how it still works for me in the Legendary edition. If these are the steps that you're following, and still it's not working this way for you, then you have some sort of odd glitch going on; maybe with your input device -- not sure.