(4) Decide which of the following maps f: R2 R2 are isometries. Justify youranswers.(ii.) f(x, y) = (cos(0)x-sin(0)y, sin(0)x + cos(0)y) for some Є R;

Answered: (4) Decide which of the following maps…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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(4) Decide which of the following maps f: R2 R2 are isometries. Justify your answers. (ii.) f(x, y) = (cos(0)x-sin(0)y, sin(0)x + cos(0)y) for some Є R;