(5) Suppose that f: R2 R2 is an isometry and that for some point A R², f(A) = A. Show that f is a composition of at most 2 reflections.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter3: Functions And Graphs
Section3.3: Lines
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(5) Suppose that f: R2 R2 is an isometry and that for some point A R², f(A) = A.
Show that f is a composition of at most 2 reflections.
Transcribed Image Text:(5) Suppose that f: R2 R2 is an isometry and that for some point A R², f(A) = A. Show that f is a composition of at most 2 reflections.
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