Diagonal é a linha reta que permite unir dois vértices que não são contíguos de um poliedro ou de um polígono. As diagonais aparecem como segmentos ou retas que apresentam uma determinada inclinação.
[list=1][*] Com a ferramenta polígono regular [img]data:image/png;base64,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[/img] construa três polígonos com quantidades diferentes de lados [br][/*][*]Com a ferramenta ponto médio [img]data:image/png;base64,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[/img] determine o centro do polígono[/*][*]Construa então as três circunferências circunscritas aos respectivos polígonos com a ferramenta círculo definido por centro e ponto [img]data:image/png;base64,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[/img][/*][*]Após ler a definição de diagonal, utilize a ferramenta [img]data:image/png;base64,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[/img] para desenhar as diagonais que partem de um dos vértices do polígono[/*][/list]
Obrigada especial aos professores Jorge Cassio, Sérgio Dantas e Gustavo Reis. Essa atividade foi desenvolvida com base nos materiais e construções geométricas desenvolvidas e generosamente disponibilizadas por vocês entusiastas da matemática.