5.2.1.5 Transformations on the plane
condition: Prove that there is no movement that leaves the points \( A(1,1) \) and \( B(0,3) \) motionless, and transfers the point \( M(3,-3) \) to \( M(-1,-5) \).
Transformations on the plane - translation, rotation, scaling, reflection, shearing, dilation, affine transformation.