Students in upper-secondary education often experience high cognitive load when solving geometric transformation problems, particularly the rotation of curves (loci). Recent studies indicate a substantial pedagogical discontinuity between the rotation of points (forward mapping) and the rotation of equations (inverse mapping). This paper proposes a unified algorithmic approach leveraging the orthogonality property of rotation matrices (R^-1= R^T). By substituting the inverted coordinates directly into the initial locus equation, we demonstrate a robust method that handles linear equations, parabolas, and general conics with equal ease. This protocol effectively manages non-standard angles and automatically accounts for the xy interaction term in rotated conics, eliminating the need for rote memorization of transformation formulas.