We applied the molecular dynamics simulation to a system of supercooled liquid dimers and studied the effect of geometric structure on the metastable states. Within the supercooled liquid that extends down to glassy regime, we found one metastable liquid branch which transforms to glassy behavior at low temperatures and a branch of frozen amorphous states which evolve from the preceding metastable liquids and manifest by better packings. Our static and dynamic data for the frozen amorphous states illuminate the geometric frustration in fluid dimers which has led to a new type of building blocks for disordered states inaccessible for a system of monatomic spherical molecules.