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Yes.
There is no shape with only four triangular faces and five vertices. If there is also a quadrilateral face then it is a quadrialteral based pyramid.
It is a polyhedron.It has one square face.It has four triangular faces.It has five vertices.It has eight edges.It is a polyhedron.It has one square face.It has four triangular faces.It has five vertices.It has eight edges.It is a polyhedron.It has one square face.It has four triangular faces.It has five vertices.It has eight edges.It is a polyhedron.It has one square face.It has four triangular faces.It has five vertices.It has eight edges.
A pyramid is a three-dimensional figure with five verticies and five sides (four of which are triangles and one of which is a square). A pentagon is a two-dimensional figure with five angles and five edges.