Problemas de Geometria

Desafio 1: Planificação do Cubo
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[/img]
Ideia
A ideia e explorar as possibilidades de ampliar as opções de resposta e trazer a tona as onze planificações do cubo.
Transformação de um Polígono
A partir de um polígono com os vértices nos pontos (2,2), (6,2) , (6,5),  (4,6) e (2,5) , faça duas transformações: uma ampliação de fator 2 do polígono original  e em seguida uma reflexão dessa imagem em relação à origem.[br][list=1][*]Quais as coordenadas dos vértices do polígono obtido?[br][/*][*]Desenhe no mesmo plano cartesiano o polígono final e original.[br][/*][/list]

Information: Problemas de Geometria