Which low energy state of condensed matter is characterized by structural rigitly and resistance to changes of shape or volume

Solid is the matter which has resistance to change their shape accordingly.

Explanation:

Solid, because when matter is in solid-state, particles are more rigid and motionless with the negligible rotational effect but face vibrations hence not resistant enough to change shape and volume. The molecules and atoms in solid are packed in a fixed position with respect to one another. This is the 'low energy' state of condensed matter which has confined shape.