The minimum rotation needed to carry the given pentagon onto itself is 108 degrees.
A rotation is a transformation that moves an object around a fixed point.
To determine the minimum rotation necessary to carry the given pentagon onto itself, we need to find the angle of rotation that will align all sides and vertices.
For a regular pentagon, each interior angle measures 108 degrees.
Therefore, the minimum rotation needed would be 108 degrees.
This is because rotating the pentagon by multiples of 108 degrees will result in all sides and vertices matching up.