Answered: 5. Show that a translation t by a…

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5. Show that a translation t by a vector (a, b) defined by t(x, y) = (x + a, y + b) is an isometry.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

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5. Show that a translation t by a vector (a, b) defined by t(x, y) = (x + a, y + b) is
an isometry.

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