What is the shape of the cross section of a sphere?Group of answer choicesRectangleTriangleEllipseCircle

To determine the shape of the cross-section of a sphere, we can analyze the possible options provided.

1. Understanding Cross-Sections

When a sphere is intersected by a plane, the shape of the cross-section can vary depending on the position of the plane relative to the sphere.

2. Evaluating the Options

• Rectangle: A rectangle cannot be formed as a cross-section of a sphere since a plane cutting through a sphere does not produce straight edges like a rectangle.
• Triangle: Similar to a rectangle, a triangle as a cross-section would not occur as the surface of the sphere is curved.
• Ellipse: An ellipse can be formed if the plane cuts through the sphere at an angle, but it is not the predominant shape produced.
• Circle: A circle is formed when a plane cuts through the sphere horizontally, passing through the center or anywhere else.

Conclusion

When a plane intersects a sphere, the most common and prominent shapes of the resulting cross-section are circles. Thus, the answer to the question is:

Final Answer

Circle