Which of the following two-dimensional shapes can be rotated to create a cone?Group of answer choicesRight triangleSquareCircleEllipse

1. Break Down the Problem

To determine which two-dimensional shapes can be rotated to create a cone, we need to analyze each of the provided shapes to see if rotation around a line can result in a three-dimensional cone.

2. Relevant Concepts

A cone is formed when a two-dimensional shape is rotated around a line (the axis of rotation). This rotation creates a surface where every point on the shape maintains a constant distance from the rotation axis.

3. Analysis and Detail

1. Right Triangle: When a right triangle is rotated around one of its legs (the height), it forms a cone. Hence, a right triangle can create a cone.

2. Square: Rotating a square around an axis does not create a cone; instead, it forms a cylinder or a more complex shape based on the square’s orientation.

3. Circle: Rotating a circle around a diameter results in a sphere, not a cone. Thus, a circle cannot create a cone.

4. Ellipse: Rotating an ellipse around one of its axes creates an ellipsoid, which is not a cone. Therefore, an ellipse cannot create a cone.

4. Verify and Summarize

After analyzing each shape:

• A right triangle can be rotated to create a cone.
• A square, circle, and ellipse do not satisfy this condition as they lead to different shapes.

Final Answer

The shape that can be rotated to create a cone is the Right Triangle.