Is it true that is centroid the same as center of gravity based on the following text?

In mathematics and physics, the centroid or geometric center of a plane figure is the arithmetic mean (''average'') position of all the points in the shape. The definition extends to any object in n-dimensional space: its centroid is the mean position of all the points in all of the coordinate directions. Informally, it is the point at which a cutout of the shape could be perfectly balanced on the tip of a pin.

pick from the following. [i] no; [ii] yes;
[i]