Rotating a square 45 degrees around its center will produce a rhombus, as the angles between the sides will no longer be 90 degrees but will instead be tilted.
When viewed from the top, a cone appears as a circle, since the base of the cone is circular.
The net of a cube consists of six square faces that can be folded to form a three-dimensional cube. Each square will form one face of the cube when folded.
Rotating a right triangle 90 degrees does not change the fact that it is a right triangle. It only changes its orientation, but the shape remains the same.
A pyramid with a square base has 4 triangular faces and 1 square base. This is the defining characteristic of a square pyramid.