Assess students' understanding of how multiplying complex numbers corresponds to rotation and dilation in the complex plane. The quiz will require converting between rectangular and polar forms, computing moduli and arguments, predicting and sketching images of points under multiplication (including cases like multiplication by i, −1, and positive/negative real scalars), and explaining how magnitudes multiply and arguments add. Tasks include numeric calculations, short written explanations linking algebraic operations to geometric effects, and one problem on composition of rotations and scalings.