Question

2a. if the polygon shown below is rotated about the y - axis, what 3 - dimensional figure will it create?
triangular prism
pyramid

Explanation:

When a right - triangle (in this case, triangle \(ABC\) with \(A=(0,0)\), \(B=(0,5)\), \(C=(3,0)\)) is rotated about one of its legs (the \(y\) - axis in this problem), the resulting 3 - dimensional shape is a cone. A triangular prism is formed by translating a triangle, not by rotating a triangle. A pyramid is formed by connecting a polygon base to a point (vertex), which is not the case here. A cone is formed by rotating a right - triangle about one of its legs.

Answer:

Cone