(06.04 MC)
Which of the following two-dimensional shapes can be rotated to create a cone?
Right triangle
O Square
O Circle
O Ellipse



Answer :

To determine which two-dimensional shape can be rotated to create a cone, let's explore the geometric properties of each shape:

1. Right Triangle:
- When you rotate a right triangle around one of its legs, it creates a three-dimensional shape where the base is a circle and the sides form a point at the top. This shape is called a cone. So, a right triangle can indeed be rotated to create a cone.

2. Square:
- Rotating a square about its axis doesn't produce a cone. Instead, it would form a cylindrical shape or a similar structure.

3. Circle:
- Rotating a circle about its diameter forms a three-dimensional shape known as a sphere, not a cone.

4. Ellipse:
- Similar to the circle, rotating an ellipse about one of its axes creates an ellipsoid, not a cone.

Given these observations, the correct answer is a Right Triangle.

Therefore, the two-dimensional shape that can be rotated to create a cone is:
Right triangle.