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QUESTION
Corollary 2. Isometries of R preserve line segments: if a E In and X , Y ER~, then a lacy ) = Q ( a ) a ( y ).
For this question, any idea how to prove that the isometry of line segment of xy equals the segment of alpha of x and alpha of y.
Corollary 2. 4. 4. Isometries of R" preserve line segments: if a E In andX , Y ER~, thena lacy ) = Q ( a ) a ( y ).