Final answer:
The possible three-dimensional figures that can have two similar but not congruent cross sections parallel to the base are a cylinder, a triangular prism, and a square pyramid.
Step-by-step explanation:
Among the given options, the three-dimensional figures that can have two different cross sections parallel to the base but of the same shape but not congruent are:
- Cylinder: The cross sections of a cylinder parallel to its base can be circles of different radii, resulting in the same shape but not being congruent.
- Triangular Prism: The cross sections of a triangular prism parallel to its base can be triangles of different sizes, resulting in the same shape but not being congruent.
- Square Pyramid: The cross sections of a square pyramid parallel to its base can be squares of different sizes, resulting in the same shape but not being congruent.