8ano.angulos.retas

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8ano.angulos.retas

  1. 1. ´ Matematica - Ensino Fundamental Exerc´ ıcios - Lista 4 - 8o. AnoExerc´ıcios sobre equa¸oes de 1o. grau em quest˜es de geometria: c˜ o 1retas concorrentes; ˆngulos alternos . a Exerc´ ıcios: 1) O paralelogramo possui lados opostos paralelos. Indique quais os angulos internos do ˆ ˆ = x; z = y .paralelogramo s˜o iguais. Dica: A ˆ ˆ ˆ a 2) Qual o valor das inc´gnitas em cada caso? o a) 1 O “post”associado a este documento se encontra no blog http://matematicareplay.wordpress.com,na categoria de Matem´tica do Ensino Fundamental. a 1
  2. 2. b)c)d) 2
  3. 3. 3) Determine o valor de cada inc´gnita, sabendo que as retas horizontais s˜o paralelas o aentre si. a) c) d) 3
  4. 4. Respostas: ˆ ˆ ˆ ˆ1) A = D; B = C.2)a) x = 130◦ ; y = 50◦ ; z = 130◦ .b) x = 10◦ .c) x = 20◦ .d) x = 25◦ ; y = 90◦ ; z = 65◦ ; w = 115◦ .3)a) x = 2.b) x = 40.c) x = 10; y = 30. 4
  5. 5. c 2012 Christine C´rdula Dantas oCopyright notice: Christine C´rdula Dantas is the author of “Matem´tica - Ensino Fun- o adamental - Lista 4 - 8o. Ano”and reserves all rights to this work, in all forms, including butnot limited to all printed and electronic forms. You have permission to copy this materialfor your personal use only. You may not distribute or commercially exploit the content. Normay you transmit it or store it in any other website or other form of electronic retrievalsystem. All efforts were given to give the proper source, credits and licence information forthis document. In case of errors or omissions, please contact the author.Corrections, Suggestions and Acknowledgements: Earlier drafts of this work weremade available over the web. All efforts were made in order to release this material asfree of errors as possible. Corrections and suggestions are very welcomed and will be hereacknowledged in future versions.Author’s Affiliation and Contact Information:Materials Division (AMR-C)Institute of Aeronautics and Space (IAE)Department of Science and Aerospace Technology (DCTA)P¸a. Mal. Eduardo Gomes, 50 cVila das Ac´cias aS˜o Jos´ dos Campos - SP a eCEP 12.228-904BrazilE-mails: christineccd@iae.cta.br; ccordulad@gmail.comTypesetting: This material was typeset using L TEX 2ε . FIgures were made using KeyNote. A 5

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