# Do elements that have many similar properties belong to the same period or group on the periodic table?

They belong to the same $\text{Group}$, the same vertical column on the Periodic Table.
While there are of course significant differences, the chemistry of $L i$ is similar to that of the lower alkali metals, the chemistry of the alkaline earth metals forms a category, and across the Table to the non-metals. each Group represents a distinct valence electron configuration, and a distinct chemistry.