I do not know how to go about this. Any help would be appreciated.

- Feb 11th 2010, 06:35 PMPinkkProve that every rigid motion transforms circles into circles
I do not know how to go about this. Any help would be appreciated.

- Feb 11th 2010, 06:39 PMDrexel28
- Feb 11th 2010, 06:46 PMPinkk
A rigid motion of the Euclidean plane is a transformation of the plane into itself such that .

Would I just write that if you are given a circle with center and any arbitrary point on the circle that is always distance from the center, then according to the definition of rigid motion, , so any arbitrary point on is distance from , and so is a circle? - Feb 11th 2010, 06:54 PMDrexel28
- Feb 11th 2010, 07:00 PMPinkk