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If the distance between the origin and the points on the path of rotation is equal, the origin will be the center of rotation for any system.

What is center of rotation?

Center of rotation is the point about which the rotation takes place. this point is equidistant from all points in the path of rotation.

We are asked to verify that the center of rotation is the origin.

In this case, the center of rotation will be equidistant from all the points in the locus of rotation. So, the distance between the origin and any point on the path of rotation will be equal.

Thus, if the distance between the origin and the points on the path of rotation is equal, origin will be the center of rotation for any system.

Learn more about center of rotation here:

https://brainly.com/question/13587879

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