Description
In this lesson, students apply complex multiplication from Lesson 14 to construct a transformation of the plane that reflects across a given line. So far, students have only looked at linear transformations of the form 𝐿: ℂ → ℂ by 𝐿(𝑧) = 𝑤𝑧 for a complex number 𝑤, and all such linear transformations have the geometric effect of rotation by arg(𝑤) and dilation by |𝑤|.
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Credits
From EngageNY.org of the New York State Education Department. Precalculus and Advanced Topics Module 1, Topic B, Lesson 16.
Available from engageny.org/resource/precalculus-and-advanced-topics-module-1-topic-b-lesson-16; accessed 2015-05-29.
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