Which of the following vis not a needed piece of information when performing a rotation a) directionb) centerc) angle d) orientation

There's no concept of direction in a rotation. The direction is a concept proper of translation, where a vector (and thus its direction) defines the translation to apply to each point.

On the other hand, a rotation has a center, and you rotate by a given angle, in a given orientation (clockwise/counterclockwise).

D) Orientation

Step-by-step explanation:

A rotation is specified by its (Direction, Center, Angle). Unless you know these, you cannot do the rotation transformation. They are characteristics of the rotation transformation.

"Orientation" is a characteristic of the object. It has no relevance with respect to specifying a rotatation. (It is not altered by the rotation transformation.)