Final answer:
The faces of a three-dimensional figure determine the shape of slices made through the figure. A cube can result in square or rectangular slices; a sphere will produce circular slices. Virtual images are both visible and photographable, and geometric transformations reveal the symmetry of objects.
Step-by-step explanation:
The faces of a three-dimensional figure greatly influence the two-dimensional shapes produced when slicing the figure. If you imagine slicing a cube, the face where you slice will either create a square or a rectangular slice, depending on the angle of the slice. However, if it's a sphere, any slice through the center will result in a circular shape.
When discussing reflection, virtual images can indeed be seen and even photographed. This is because a camera can capture the same reflected light that our eyes perceive. Therefore, for part A the answer is yes, and for part B the answer is yes since a virtual image from a flat mirror can be captured by a camera, just like it can be seen with our eyes.
The phenomena of geometric transformations, like rotation, contribute to understanding the symmetry of objects such as a cube. Chemists and other scientists often refer to these transformations to describe molecular structures or crystal patterns.