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Type: Multiple-Choice
Category: Complex Numbers
Level: Grade 11
Standards: HSN-CN.B.4
Author: nsharp1
Created: 5 years ago

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Complex Numbers Question

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Let the following graph represent the complex plane (assume that x is the real axis and y is the imaginary axis). Let z=4+3i be the complex number represented by the letter I.
Coordinate Plane - 5x5 - With Dots

Grade 11 Complex Numbers CCSS: HSN-CN.B.4

What is the significance of the answers in parts a and b compared to part c? Choose the best answer.
  1. They are similar, since the geometry of the complex plane is closely related to the polar coordinates of a complex number.
  2. They are the same. This is only a phenomenon of the first quadrant though; for a complex number in any other quadrant, these values would be different.
  3. They are the same, since α represents the modulus of z, and β represents the argument of z.
  4. Any similarity or equality is pure chance; there is no relationship between these values.