Consider the following complex numbers
\[ z_1 = r_1(\cos\theta_1 + i\sin\theta_1) \]\[ z_2 = r_2(\cos\theta_2 + i\sin\theta_2) \]
where \(r_1, r_2\) are real numbers, \(0 \le \theta_1 \le \dfrac{\pi}{2}\), \(0 \le \theta_2 \le \dfrac{\pi}{2}\), and \(i=\sqrt{-1}\)
If \(|z_1+z_2| = |z_1|+|z_2|\), which one of the following conditions is necessarily CORRECT?