It's a bit tricky to answer these questions sometimes, but the main idea behind whether to choose the -ing form or the -ed form this:
The -ing form is used for DOING the action, which means SUBJECT, which means ACTIVE voice.
The -ed form is used for RECEIVING the action, which means OBJECT, which means PASSIVE voice.
Before I go further, let me offer two examples that will make things clearer as we go along:
speaking person (the -ing form)
spoken words (the -ed form)
In this type of question, we always have two elements:
a particple, which is either in the -ing or -ed form
a noun that is modified by this participle
So, using the previous examples, speaking modifies person and spoken modifies words.
The next step is to realize that these participles all come from verbs--speaking and spoken both come from the verb speak.
Now, using these examples, and applying them to the rules I mentioned at the beginning, we will notice that if we made a sentence, person would be the subject of the verb speak and words would be the object of the verb speak. Using this procedure, we can figure out whether should use the -ing or -ed form of a participle that modifies a noun. And that's it!!
Of course, this is easy when the vocab is easy, and we often get confused when we are using difficult vocab because we sometimes don't know whether something is the subject or the object of the verb, but this procedure that I have explained is the only sure way to get the right answer.