We reviewed that the values of *a* and *b* of the Rectangular Form tell us the horizontal and vertical components, respectively, of the **translation** achieved by adding a complex number, but this form is not useful for when the number is being used as a multiplication factor. For that, we need the number’s Polar Form. Once finding it, the value of *r* tells us the **dilation** factor and the value of *θ* tell us the **rotation** factor.

To better understand this requires practice, and so we spend a considerable amount of time in class today converting between rectangular and polar forms for a single complex number and identifying the transformations they refer to. This work was on the Complex Numbers Transformations sheet, and your homework is to **finish the front** as well as questions 3, 4, and 5 on the back.

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