Final answer:
By adding the Latin prefix dis- to the words agree, engage, and prove, we create the words disagree, disengage, and disprove, respectively, which denote opposites or negations of the original terms.
Step-by-step explanation:
The Latin prefix dis- typically means "the opposite of" or serves as a negation to the word it is attached to. For example, when we add dis- to the word agree, we form disagree, which means to have a differing opinion. If we form a sentence using this new word, we might say: "They tend to disagree on most topics, making it difficult for them to choose a place to eat."
Similarly, adding dis- to engage results in disengage, which means to detach or disconnect. For example, in a sentence, we can say: "The pilot had to disengage the autopilot system manually due to a technical malfunction."
Lastly, if we add dis- to prove, we get disprove, meaning to show that something is not true. We could use it in a sentence like: "The scientist conducted several experiments to disprove the outdated theory."