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Rigid Motions Fixing 2 Points P, Q Fix All Points on Line PQ

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Explanations 1

Suppose that we have an isometry FFF with two fixed points AAA and BBB. Thus, F(A)=AF(A)=AF(A)=A and F(B)=BF(B)=BF(B)=B. Consider a point XXX on the line ABABAB. Let XA=aXA=aXA=…
By Sujay Kazi