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They are not. The Milky Way is a galaxy, the constellation Centaurus is just a man made visual representation of something, and bears no relation to a physical entity.
this is a hard question
Obviously, the Milky Way is our Galaxy (or the huge band of stars with that same name) and Centaurus is only a constellation. To be fair to the questioner, Centaurus is in an area of the sky that does contain part of the band of stars called the Milky Way.
we are in the milky way Galaxy! the Centaurus arm is just a small part of the milky way.
In essentially every possible way. Constellations are specifically defined areas of sky; Centaurus is one such, as seen from the planet Earth. The Milky Way is a galaxy. The two are, at best, extremely loosely related.
galaxy well... the milky way itself is a constellation but we live in what we call the milky way galaxy.,
There is no larger rotational group for galaxies. The Milky Way galaxy and the Andromeda Galaxy, as part of the Local Group, are moving generally in one direction, toward an unidentified central mass in the direction of the constellation Centaurus. (This may be a gravitational effect of the Shapley Supercluster.)
The Milky Way is out nearest Galaxy. It is not a constellation.
The Milky Way is the plane of our galaxy NOT a constellation. We can see it because we are part of it.
Earth is part of the Sol Constellation which belongs to the Milky Way Galaxy.
Orion is a constellation in our galaxy, the Milky Way.
No, the Milky Way is a galaxy. It's the one we live in.