Polar form, modulus and argument

Connect a complex number with its location, distance and direction in the complex plane. This precalculus practice set develops rectangular and trigonometric forms, modulus, equivalent arguments and principal-argument conventions, including axis points and the exceptional case of zero.

Twelve single-select and multiselect questions progress from interpretation and exact conversion to graph reading and reconstruction from partial information. Detailed explanations check real and imaginary parts, quadrants and the selected argument interval. The set focuses on polar form itself; complex multiplication, powers and roots are reserved for subsequent topics. Solve from the geometry before comparing the answer choices.