To determine the shape of the cross-section when a slice is made parallel to the base of a right rectangular pyramid with four equal edges, we need to visualize the geometry of the pyramid.
A right rectangular pyramid with four equal edges means that the apex (top point) of the pyramid is directly above the center of the base, and all four edges from the apex to the corners of the base are of the same length. The base of the pyramid is rectangular.
When a slice is made parallel to the base of the pyramid, the cross-section will be a smaller version of the base, which is a rectangle, because parallel slices to a rectangular base always produce similar shapes.
However, since all edges are equal and assuming the base is a square (which is a special case of a rectangle where all sides are equal) the cross-section would be a square if the base is square.
Based on the given options and the geometry of the pyramid:
- square - This is correct if the base is square.
- hexagon - Not applicable.
- triangle - Not applicable.
- trapezoid - Not applicable.
Since the question likely assumes a specific configuration where all sides are equal and the simplest case (a square base), the most appropriate response is:
square.