Concept:Molecules in both solids and liquids can vibrate, although their freedom to move differs.
Explanation:In solids, molecules are tightly packed and vibrate about fixed positions.
In liquids, molecules are closely packed but not fixed, so they can slide past one another.
Both solids and liquids have molecules that vibrate continuously.
Option A is incorrect because solids and liquids have strong intermolecular attraction.
Option B is incorrect because their molecules are not widely separated.
Option C is incorrect because solids do not show fully random motion.
Thus, the correct common property is vibratory motion.
Answer:D. exhibit vibratory motion.