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First and foremost, hybridization is defined as the mixing of atomic orbitals into new hybrid orbitals. These hybrid orbitals have different energies, shapes, etc., than the component atomic orbitals. Take for example CH4. In a CH4 molecule, the four H atoms form four equivalent bonds. In each of these bonds, the 1s orbital of a H atom overlaps with one of the sp3 hybrid orbitals to form a C-H bond. The resulting shape of the molecule is tetrahedral. In this sense, I think hybrid orbitals have a shape, but this shape depends on what atomic orbitals are mixed.
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