ÂNGULOS OPOSTOS PELO VÉRTICE
ÂNGULOS OPOSTOS PELO VÉRTICE
Realize os seguintes passos no GeoGebra:
Sugestão: ao lado de cada passo, está a ferramenta a ser utilizada.
1 - Construa duas retas concorrentes AB e CD
2 - Identifique o ponto de interseção entre as duas retas, ponto E
3 - Obtenha as medidas dos ângulos BÊC, CÊA, AÊD e DÊB ![](data:image/png;base64,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)
Após a sua construção, movimente um dos pontos das retas e observe o que acontece com as medidas dos ângulos.
Responda
1 - Qual a relação existente entre dois ângulos adjacentes?
2 - Qual a relação existente entre dois ângulos opostos pelo vértice?
A partir de sua compreensão sobre ângulos opostos pelo vértice e observando a construção abaixo, responda as questões 3 e 4:
3 - Qual a medida do ângulo AGD?
4 - Qual a medida do ângulo BHE?