Final answer:
The relationship between worthwhile and useless is that they are antonyms. The analogy that has the same relationship as worthwhile: useless is 'Important: powerful'.
Step-by-step explanation:
The relationship between worthwhile and useless is that they are antonyms. 'Worthwhile' means something that is valuable, meaningful, or worth doing, while 'useless' means something that has no value, purpose, or benefit. In the given options, the analogy that has the same relationship as worthwhile: useless is 'Important: powerful', where 'important' is similar to 'worthwhile' in meaning and 'powerful' is similar to 'useless' in meaning as both are opposites.
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