Final answer:
To identify the longest and shortest edge of a pyramid, examine the sides of the polygonal base. The longest edge is the longest side of the base polygon, and the shortest edge is the shortest side of the base polygon.
Step-by-step explanation:
To identify the longest and shortest edge of a pyramid, you need to understand its structure. A pyramid is a polyhedron with a polygonal base and triangular faces that converge at a single point called the apex. The base of the pyramid is a polygon, and its edges are the sides of the base.
The longest edge of the pyramid is the longest side of the base polygon, while the shortest edge is the shortest side of the base polygon. For example, if the base is a triangle, the side with the greatest length will be the longest edge, and the side with the smallest length will be the shortest edge.