The statement that is true about the diameter of a sphere is:
The diameter of a sphere passes through the center of the circle.
Here’s a breakdown of the other statements:
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The diameter is the shortest length on a sphere. - This is false; the shortest distance between two points on the surface of a sphere is along a great circle.
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The diameter is 2.5 times the length of the radius. - This is false; the diameter is actually 2 times the length of the radius.
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The diameter is not a chord. - This is false; the diameter is a special type of chord that passes through the center of the sphere.
Thus, the correct response is: The diameter of a sphere passes through the center of the circle.