Final answer:
The statement is true; liquids do have indefinite shapes since they take the shape of their containers, but they are incompressible due to the close packing of their particles.
Step-by-step explanation:
The statement that liquids have indefinite shapes but are incompressible is true. Liquids, like solids, are forms of matter composed of atoms, ions, or molecules that have a definite volume but no fixed shape. The particles in liquids can move around, allowing the liquid to flow and take on the shape of the container it occupies. However, the particles are densely packed with very little empty space between them, similar to a solid. This high density and lack of empty space means that liquids cannot be compressed easily, making them essentially incompressible under normal conditions. This is unlike gases, which can be compressed significantly because their particles have much more space to move into.