Which of the following two-dimensional shapes can be rotated to create a sphere?Group of answer choicesTriangleSquareCircleEllipse

To determine which two-dimensional shapes can be rotated to create a sphere, we can analyze each option based on the concept of revolution in geometry.

1. Triangle

Rotating a triangle around an axis will form a conical shape, not a sphere. Therefore, a triangle cannot create a sphere.

2. Square

Rotating a square around one of its edges will create a cylindrical structure, and rotating it around its center will not lead to a sphere. Hence, a square does not create a sphere either.

3. Circle

If you rotate a circle around an axis that is not in the plane of the circle, it forms a three-dimensional shape known as a sphere. Thus, a circle can indeed create a sphere.

4. Ellipse

Rotating an ellipse around its minor or major axis also results in a three-dimensional shape, which is an ellipsoid, not a sphere. Therefore, an ellipse cannot produce a sphere.

Conclusion

From the options provided, the only shape that can be rotated to create a sphere is Circle.

Final Answer

Circle is the shape that can be rotated to create a sphere.