The correct statement is:
"The diameter of a sphere passes through the center of the circle."
To clarify each statement:
- **The diameter of a sphere passes through the center of the circle.** This is true. The diameter of a sphere (or a circle) is a straight line that passes through the center and connects two points on the surface (circumference for a circle, surface for a sphere).
- **The diameter is the shortest length on a sphere.** This is false. The shortest path between any two points on the surface of the sphere is along the surface, specifically along a great circle. The diameter is actually one of the longest straight-line distances you can measure across the sphere.
- **The diameter is 2.5 times the length of the radius.** This is false. The diameter is exactly 2 times the radius.
- **The diameter is not a chord.** This is false. The diameter is indeed a special type of chord that passes through the center of the circle or sphere.
Hence, the correct assertion is the first one: "The diameter of a sphere passes through the center of the circle."
Which of the following is true about the diameter of a sphere?(1 point) Responses The diameter of a sphere passes through the center of the circle. The diameter of a sphere passes through the center of the circle. The diameter is the shortest length on a sphere. The diameter is the shortest length on a sphere. The diameter is 2.5 times the length of the radius. The diameter is 2.5 times the length of the radius. The diameter is not a chord.
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