Final answer:
Without additional information, the exact degree of the counterclockwise rotation about the origin cannot be determined. The distance from any point to the origin is invariant under coordinate system rotations, which is a principle in physics related to rigid body motion.
Step-by-step explanation:
The question pertains to rotations, specifically about the origin in a counterclockwise direction. Without additional context such as the original orientation or the final orientation of the rotated object, it is not possible to provide the exact degree of rotation. In physics, especially when discussing the motion of rigid bodies, rotations occur in angles (such as degrees or radians), and the concept of counterclockwise rotation implies a positive angle of rotation with respect to a fixed coordinate system, most often when observed from above the plane of rotation.
To answer such a question with certainty, one would generally use geometrical arguments, trigonometry, or vector analysis to determine the angle by which an object has been rotated. Without specific figures or images from the question, we cannot state a particular angle of rotation.
When discussing the invariance of a point's distance from the origin under rotation, this is a fundamental property of rotational motion in a coordinate system. For any given point with position coordinates (x, y), the distance to the origin can be calculated using Pythagorean theorem as √(x² + y²), and this distance remains the same no matter how the coordinate system is rotated about the origin.