To determine which statement is true, we would need the specific distances of the yellow and green paths. Since no diagram or specific distances are provided in the question, we cannot definitively determine which statement is correct.
However, if you're looking to analyze the statements:
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"The green path is 2 miles shorter than the yellow path." - If the distance of the yellow path minus the distance of the green path equals 2 miles, then this statement is true.
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"The yellow path is double the distance of the green path." - If the distance of the yellow path is equal to twice the distance of the green path, this statement is true.
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"The green path is half the distance of the shorter path." - This implies that the green path is the shorter of the two and that its distance is half of that. It would need to be validated with actual distances.
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"The yellow path and green path are the same distance." - This means both paths have identical lengths.
Without the actual distances, it's impossible to determine which statement is true. If you have the distances of the paths, please provide that information, and I can help you analyze the statements further.