yes,absolutely
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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.
triangular pyramid
None of the edges of a triangular pyramid is parallel to any of its other edges.
Not true. They have only one base and several (3 or more) lateral triangular faces. A pyramid has a single vertex over a base - there are no parallel faces in any pyramid.
No.