It creates a trapezium frustum.
Suppose the top face of the pyramid is ABCD with the square EFGH directly below it.Suppose AC and BD meet at P, the apex of the pyramid.Make a cut with a plane through P which is parallel to AB and goes through EF.Make a cut with a plane through P which is parallel to BC and goes through FG.Make a cut with a plane through P which is parallel to CD and goes through GH.Make a cut with a plane through P which is parallel to DA and goes through HE.The result will be the square-based pyramid PEFGH.
The base of a square pyramid is a square and its edges are parallel. The sides are not parallel since they intersect at the apex.
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Suppose the top face of the pyramid is ABCD with the square EFGH directly below it.Suppose AC and BD meet at P, the apex of the pyramid.Make a cut with a plane through P which is parallel to AB and goes through EF.Make a cut with a plane through P which is parallel to BC and goes through FG.Make a cut with a plane through P which is parallel to CD and goes through GH.Make a cut with a plane through P which is parallel to DA and goes through HE.The result will be the square-based pyramid PEFGH.
The base of a square pyramid is a square and its edges are parallel. The sides are not parallel since they intersect at the apex.
All cross sections of a square pyramid that are parallel to the base are squares
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When a square pyramid is sliced by a plane parallel to its base, the cross section formed is a smaller square. The size of the square depends on the distance from the apex of the pyramid to the slicing plane; as the plane moves downward, the area of the square decreases proportionally. This maintains the shape's similarity to the base of the pyramid.
Two pairs
Two pairs.
Two pairs.