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Pyramid

A pyramid is a polyhedron that has a base, which can be any polygon, and three or more triangular faces that meet at a point called the apex. These triangular sides are sometimes called the lateral faces to distinguish them from the base.

The base

BAse and apex of a pyramid.  Math Open Reference
The base can be any polygon, but is most often a square.

The base is usually a regular polygon, but it need not be.

The faces

The faces of the pyramid are all triangles. If the base is a regular polygon, the triangles are all congruent (same shape and size), and isosceles (two sides the same length).

Right and Oblique pyramids

  • If the apex is directly over the center of a regular base as it is above, it is called a right pyramid.
  • If the apex is not over the center of the base, it is called an oblique pyramid, and the faces are not congruent.