The main interest of this work is to construct surface family pair with the symmetry of
Bertrand pair in Euclidean 3-space E3. Then, by employing the Serret-Frenet frame, we conclude
the sucient and necessary conditions of surface family pair interpolating Bertrand pair as mutual
geodesic curves. Moreover, the conclusion to ruled surface family pair is also obtained. Meanwhile,
this work is demonstrated through several examples.