The lihosphere is rigid and the asthenosphere is soft. They are both located in the Mantle.
Explanation:
The lithosphere is the Earth's layer that makes up its solid surface. It is the thinnest of the planet's layers, being considered a kind of “shell” in the world, for this reason we can say that the lithosphere is rigid. It has a depth that varies between 5 and 100 km, corresponding to 2.4% of the radius of the terrestrial sphere. The term “lithosphere” arises from the division of the Earth into layers that are segmented from its physical state. Below it, there is the asthenosphere, characterized by having higher temperatures, which allows the process of physical transformation of rocks, making them more "plastic".
The Astenosphere is the layer of the Earth formed by the upper region of the mantle, presenting a more fluid and pasty aspect, with a magma that is in constant movement. It is the terrestrial layer that is just below the lithosphere and, therefore, acts and interferes directly in its dynamics. Its depth varies between 100 km and 400 km and its basic composition is iron and magnesium silicates.
In summary, we can say that the lithosphere is rigid and the asthenosphere is smooth. Both are located in the mantle
