Lecture

Translations: Isometries and Compositions

Description

This lecture covers the concept of translations as isometries that preserve orientation. It explains that a translation is the composition of two reflections with coincident or parallel axes. The proof involves considering different cases and demonstrating the reciprocal. The lecture also discusses the properties of medians and the relationship between translations and rotations. It concludes by highlighting that identity is a special case of isometries, being both a rotation and a translation.

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