The given answers are correct, it is part of the word widerspiegeln which means "to reflect" something.
The reason I still answer is, that the correct spelling of the word is "widerspiegeln" without "ie"! That is probably the reason why you did not found it in your dictionary.
"wieder" means something like "again" in German, while "wider" is used as a kind of "reflect".
"Wider" can be connected with another word or used as a standalone-word. In your case, it is widerspiegeln.
But beware: There are also words like "Wiedergabe" (Replay) in German, where you have to write it with "ie". In this case, Wiedergabe means to play it again (again = wieder), that's why you have to write it with "ie".
It's kind of a tricky case but I hope, you got it!