Question

no additional details were added for this assignment. if the two - dimensional figure is rotated about its side, \\( \overline { df } \\), which of the following three - dimensional shapes will be formed by this rotation? cylinder cone triangular prism frustum

Explanation:

Step1: Recall the properties of 3D shapes formed by rotation

When a right - angled triangle is rotated about one of its legs (in this case, \( \overline{DF}\) which is a leg of the right - angled triangle), the resulting 3D shape is a cone.

• A cylinder is formed by rotating a rectangle about one of its sides.
• A triangular prism is a polyhedron with two triangular bases and three rectangular lateral faces and is not formed by rotation of a 2D triangle about one of its sides.
• A frustum is a portion of a solid (usually a cone or a pyramid) that lies between two parallel planes cutting it.

Answer:

cone