No. Ceres, which used to be considered an asteroid, was recategorized as a "dwarf planet" in 2006, about the same time that Pluto was. Ceres is a small rocky body, the biggest in the asteroid belt.
Ceres is not a planet. It is rocky in composition.
Saturn is not a rocky planet.Saturn is not a glass planet. (by the way I know of no such classification as a "glass" planet).Saturn is a gas giant planet.
Very few similarities exist between Mars and Saturn. Mars is a smallish terrestrial (or rocky) planet, while Saturn is a large gas giant planet. Mars has two small satellites, while Saturn has dozens of large satellites, and millions of small ones that form the "rings" of Saturn.
We have no idea which particular three categories you mean. One possibility is "terrestrial planets", "gas giants", "ice giants". There are others. For example, ice dwarfs, gas dwarfs ("dwarf" in this sense means "less than 10x Earth's mass", and is not related to the term "dwarf planet" used to describe e.g. Pluto; Pluto is a dwarf in both senses, but Earth in only one of them). "hot Jupiters", chthonian planets ... Your question is impossible to answer, because there are a lot more than three categories, and which three are meant depends really on what you're trying to distinguish.
Only in its rings, the planet itself is gas.
That is commonly called a gas giant.
Ceres is a dwarf planet. There is no such thing as a gas dwarf planet - Yet!
Ceres was counted as a planet from its discovery in 1801 until the 1850s when it was reclassified as an asteroid. In 2006 it was classified as a dwarf planet, which is not considered a planet.
Haumea is a rocky, terrestrial dwarf planet.
It is neither. It is a rocky planet.
No, Pluto is a tiny, rocky dwarf planet.
Pluto is a rocky world. Pluto is now reclassified as a dwarf planet.
The planet Pluto is a dwarf planet. It is completely made of rock and ice!
Pluto is a dwarf planet made ice and rock.
Makemake isn't a planet, it is a dwarf planet.
Mars is a rocky planet. The rocky planets are Mercury, Venus, Earth and Mars. Dwarf planets like Pluto may contain rock, but also presumably much ice.
Pluto is not a gas giant. It's a very small, rocky dwarf planet.
rocky yet all the inner planets are