Answer: verified, precise, credible, organized and significant.
Step-by-step explanation: A subcategory is a category that is a subdivision or is subordinate of a larger category. In this case the subcategory is "convincing theories" and we need to find the words that belong in that category, in order to do that we need to know that a convincing theory must be based and verified by a reliable (credible) source, the presented information should be precise organized and significant. The other words (vague, trivial, unconfirmed, random and improbable) don't correspond to the given category.