Let \(ABC\) be a triangle and \(\ell_1,\ell_2\) be two parallel lines. Let \(\ell_i\) intersects line \(BC,CA,AB\) at \(X_i,Y_i,Z_i\), respectively. Let \(\Delta_i\) be the triangle formed by the line passed through \(X_i\) and perpendicular to \(BC\), the line passed through \(Y_i\) and perpendicular to \(CA\), and the line passed through \(Z_i\) and perpendicular to \(AB\). Prove that the circumcircles of \(\Delta_1\) and \(\Delta_2\) are tangent.