The correct reason why CH₄ (methane) has the same electron geometry and molecular geometry is "It has no lone pairs."
In CH₄, the central carbon atom is bonded to four hydrogen atoms through single bonds, and there are no lone pairs of electrons on the carbon. This means that the arrangement of electron groups (which includes both bonding pairs and lone pairs) is the same as the arrangement of the atoms in the molecule.
In CH₄, the electron geometry is tetrahedral, and since there are no lone pairs, the molecular geometry is also tetrahedral. If there were lone pairs present, they would affect the geometry and the names would differ.