How to rotate handwriting trajectories

I have a set of points that comprise the trajectories of a jagged, wriggling line. I need to rotate the complete line without shrinking or dilating the height or length. I need both algorithm and toolbox suggestions. Thank you.

[Eric Caplain]

More Information: I neglected to say that the trajectory should be assumed to start at 0,0 and would need to be rotated about that point.

[Image Analyst]

You also neglected to attach your data so we can't do anything with them. So my answer below doesn't change. Good luck though.

Answer 1

[Image Analyst]

Use the rotation matrix: https://en.wikipedia.org/wiki/Rotation_matrix See attached demo where I rotate a set of points making up an ellipse.