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Lesson: Argand Diagrams

Learn how to use an Argand diagram to represent a complex number in this lesson. Learn how to identify complex numbers that have been plotted on an Argand diagram and discover geometric properties of complex numbers.

Worksheet: Argand Diagrams • 12 Questions

Q1:

What complex number lies at the midpoint of and on the given complex plane?

Q2:

Describe the geometric transformation that maps every complex number to its conjugate .

Arotation by about the origin
Breflection in the line
Creflection in the real axis
Dreflection in the line
Ereflection in the imaginary axis

Q3:

In what quadrant does lie?

Athe fourth quadrant
Bthe third quadrant
Cthe second quadrant
Dthe first quadrant

Q4:

Find the value of given on the Argand diagram below.

Q5:

Find the value of given on the Argand diagram below.

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