# Complex Numbers: What's My Rule?

Points A and C are complex numbers. Drag point A. Point C moves in response.
What is the rule that defines points C? Try to describe it geometrically and algebraically.
Is it possible to move A without moving C?
Is it possible to move A so point C is at the origin?
What happens to C when A moves along the Real axis?
What happens to C when A moves along the Imaginary axis?
Is it possible to move A so point C moves along the Real axis?
Is it possible to move A so point C moves along the Imaginary axis?

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