Which statement about differences between Perimeter and Polylength measurements is true?

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Multiple Choice

Which statement about differences between Perimeter and Polylength measurements is true?

Explanation:
Understanding how closure affects length measurements is key. Perimeter measures the total boundary length of a shape that forms a closed loop, summing around the boundary where the path ends where it starts. Polylength measures the length along a polyline—a connected sequence of segments—that does not have to close, so it is an open path by default. Because of that, the true statement is that polylengths are open shapes, while perimeters can be closed. This distinction matters in practice: use polylength when tracing a path that doesn’t enclose space, and use perimeter when you need the full boundary length of a closed figure. The other statements don’t capture this fundamental difference about closure and how these tools are meant to be used.

Understanding how closure affects length measurements is key. Perimeter measures the total boundary length of a shape that forms a closed loop, summing around the boundary where the path ends where it starts. Polylength measures the length along a polyline—a connected sequence of segments—that does not have to close, so it is an open path by default. Because of that, the true statement is that polylengths are open shapes, while perimeters can be closed. This distinction matters in practice: use polylength when tracing a path that doesn’t enclose space, and use perimeter when you need the full boundary length of a closed figure. The other statements don’t capture this fundamental difference about closure and how these tools are meant to be used.

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