For example, rotation in the plane about a point leaves the…

For example, rotation in the plane about a point leaves the point about which it rotates invariant, while translation in the plane does not leave any points invariant, but does leave all lines parallel to the direction of translation invariant as lines.
https://twetch.app/t/d4d5a28e1c108cf5c52834d9e5ecffb6ff1b09a3c5c77212fac4c0584eae1b06