The descriptions you've provided correspond to the three main states of matter:
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Solid: Particles are tightly packed and vibrate in place; solids have a definite shape and volume.
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Liquid: Particles are loosely packed and slide past one another; liquids have an indefinite shape (take the shape of their container) but a definite volume.
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Gas: Particles are far apart and move at fast speeds; gases have an indefinite shape and volume (they fill the container they are in).
These distinctions are fundamental to understanding the different physical states of matter.