It is possible to have a square based pyramid which will have 5 faces, 8 edges and 5 vertices
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no it is not possible
While it is possible for a pyramid to have a square bases, you should not assume that all pyramids have square bases. Try to picture a triangular pyramid in your head, hopefully you can see that it is possible, and this would answer your question.
A trapezium or a triangle. If the pyramid is a right pyramid then they would both be isosceles.
There are infinitely many possible answers. A square based pyramid is one.
A square pyramid.