5.2.1.7 Transformations on the plane
condition: Prove that the formulas define the movement and determine its type. \[ \left\{\begin{array}{l} x^{\prime}=\frac{5}{13} x-\frac{12}{13} y+2 \\ y^{\prime}=-\frac{12}{13} x-\frac{5}{13} y-4 \end{array}\right. \]
Transformations on the plane - translation, rotation, scaling, reflection, shearing, dilation, affine transformation.