Veja o vídeo abaixo até o tempo 2:00 para entender o que é "ângulo".
Observe o ângulo e movimente os pontos B e C.
[size=150]Complete a sentença[br][br]Ângulo é a região do plano situada entre duas ______________ distintas de mesma _______________.[/size]
semirretas, origem.
[size=150]Marque a alternativa que contém o que falta na sentença abaixo[br][br]Os elementos desse ângulo são: um ______________ (ponto A), dois _________ (semirretas _____ e _____) e ______________, região interna do ângulo.[/size]
[size=150]Complete a sentença[br][br]Esse ângulo pode ser identificado: ______ou_______[/size]
BÂC, Â.
[size=150][b]Pesquise na internet e responda as perguntas:[/b][/size]
[size=150]O que é um ângulo agudo?[/size]
Um ângulo menor de 90º.
[size=150]O que é um ângulo obtuso?[/size]
Um ângulo maior de 90º.
[size=150]O que é um ângulo reto?[/size]
Um ângulo de 90º.
[size=150]O que é um ângulo raso?[/size]
Um ângulo de 180º.
Mexa na bolinha na barra vermelha para mudar a medida do ângulo.
[size=150]Classifique os ângulos BÂC, DÊF e GÎH em agudo, obtuso ou reto.[/size]
BÂC é agudo, DÊF é obtuso e GÎH é reto.
Medida de um ângulo - Amplitude
[justify][size=150][b]A medida de um ângulo é um número positivo associado ao ângulo. À medida de um ângulo dá-se o nome de amplitude do ângulo.[br][br][/b][/size][size=150][b]Um [color=#ff0000]grau[/color] é uma unidade de medida de um giro que corresponde à volta completa dividida por 360º.[br][br][b]Transferidor[/b] é um instrumento feito para medir ângulos composto por uma escala circular, dividida e marcada em ângulos espaçados regularmente, como numa régua.[br][img]https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcTTNv1pX270LQhHlUKb9pWD6LEjV4_jZ4QVzQgLag2voLCleilz8Mybwhl_ZQMRH6CTELY&usqp=CAU[/img][/b][/size][/justify]
Veja o vídeo abaixo para entender o que é um transferidor e como usá-lo para medir ângulos.
Transferidor
[size=150]O que você observou ao alterar a posição do ponto D?[/size]
[size=150][b]Observe a imagem para responder algumas questões:[br][img]data:image/png;base64,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[/img][br][br][br][br][/b][/size]
[size=200][size=150]Em qual das horas representadas acima os ponteiros formam um ângulo reto? Indique outra hora que os ponteiros formam um ângulo reto.[/size][/size]
[size=150]Às 4 horas, os ponteiros formam um ângulo maior ou menor que um ângulo reto?[/size]
[b][size=200]FAZER ATÉ AQUI --------------------------------------[/size][/b]
[size=150]Com a construção, você consegue concluir o significado de "congruente"? Escreva esse significado abaixo.[/size]
[size=150]Faça uma pesquisa e escreva abaixo o que você encontrou sobre o significado de "congruente". Você acertou?[/size]
[size=150]Mova os pontos B e C na construção acima. O que você percebe que acontece com os ângulos verde e vermelho? Justifique o que percebeu.[/size]
[size=150]Seguindo o que você sabe sobre bissetrizes, a bissetriz de um ângulo divide ele em dois ângulos de 35º. Qual é o ângulo original?[/size]
70º
[size=150]Para cada ângulo abaixo, quanto mede os dois ângulos que surgem quando traçamos as bissetrizes deles?[br][br]a) 130º[br]b) 50º[br]c) 220º[br]d) 90º[/size]
a) 65º[br]b) 25º[br]c) 110º[br]d) 45º
Atividade 4
[size=150][b]Proposta:[/b] siga os passos abaixo para elaborar uma construção orientada no GeoGebra, dentro da tela logo abaixo dos passos.[br][br]1 - Com a ferramenta "Ponto", crie um ponto A qualquer na tela[br]2 - Com a ferramenta "Semirreta", crie três semirretas distintas com origem em A clicando primeiro em A e depois em outro lugar qualquer (os pontos B, C e D surgiram)[br]3 - Organize de forma a ficar como na imagem que segue:[br][br][/size]
Siga os passos 1 a 3 acima e depois o passo 4 abaixo para elaborar a construção.
[size=150]4 - Depois que a construção estiver nesse formato, com a ferramenta "Ângulo", clique no pontos C, A e B, nessa ordem. Depois nos pontos D, A, C, nessa ordem (os ângulos alfa e beta foram criados)[/size]
Ângulos Consecutivos e Adjacentes
Ângulos opostos pelo vértice
[size=150]Movimente os pontos A e C. Verifique o que você encontrou na pesquisa na questão anterior.[/size]