{"id":4714,"date":"2020-09-09T10:20:35","date_gmt":"2020-09-09T04:50:35","guid":{"rendered":"https:\/\/kseebsolutions.guru\/?p=4714"},"modified":"2021-07-02T15:03:35","modified_gmt":"2021-07-02T09:33:35","slug":"kseeb-solutions-class-8-maths-chapter-3-ex-3-1","status":"publish","type":"post","link":"https:\/\/kseebsolutions.guru\/kseeb-solutions-class-8-maths-chapter-3-ex-3-1\/","title":{"rendered":"KSEEB Solutions for Class 8 Maths Chapter 3 Axioms, Postulates and Theorems Ex 3.1"},"content":{"rendered":"

Students can Download Maths Chapter 3 Axioms, Postulates and Theorems Ex 3.1 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths<\/a> helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.<\/p>\n

Karnataka Board Class 8 Maths Chapter 3 Axioms, Postulates and Theorems Ex 3.1<\/h2>\n

Question 1.
\nWhat are undefined objects in Euclid\u2019s geometry?
\nAnswer:
\nCertain objects in mathematics which cannot be defined using the terms an already know. Lines, points, plane, space are undefined objects in Euclidean geometry.<\/p>\n

Question 2.
\nWhat is the difference between an axiom and a postulate?
\nAnswer:
\nAxiom :<\/p>\n

    \n
  1. Axioms are elementary statements, which are self-evident and which are accepted without questions.<\/li>\n
  2. Axioms are applicable to all branches of mathematics and science.<\/li>\n<\/ol>\n

    Postulate:<\/p>\n

      \n
    1. The statements which are particular to geometry and accepted without question are called geometrical postulates.<\/li>\n
    2. Postulates are applicable to geometry only.<\/li>\n<\/ol>\n

      Question 3.
      \nGive an example of the following axioms from your experience.
      \na. If equals are added to equals, the wholes are equal.
      \nb. The whole is greater than the part.
      \nAnswer:
      \na. In the fig. AB = CD = 4cm BE = DF = 2 cm
      \n\"KSEEB
      \nAB + BE = 4 + 2 = 6cm ……….(i)
      \nCD + DF = 4 + 2 = 6cm ……….(ii)
      \n\"KSEEB
      \nFrom (i) and (ii) AE = CF
      \n(b) In the adjoining figure
      \nAB = AC + CB
      \n\"KSEEB
      \nCompare AB,AC and CB you find AB > AC and AB > CB.<\/p>\n

      Question 4.
      \nWhat is the need of introducing axioms?
      \nAnswer:
      \nThe Greek mathematicians faced great difficulty while developing geometry as a pure deductive science. They had to depend on certain primitive notions like points, line and planes and space. But this was not enough to deduce everything. They had to set up certain statements whose validity was accepted unquestionably. Thus there was a need of introducing axioms.<\/p>\n

      Question 5.
      \nYou have seen earlier that the set of all-natural numbers is closed under addition (closure property). Is this an axiom or something you can prove?
      \nAnswer:
      \nYes, this can be considered as an axiom<\/p>\n","protected":false},"excerpt":{"rendered":"

      Students can Download Maths Chapter 3 Axioms, Postulates and Theorems Ex 3.1 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations. Karnataka Board Class 8 Maths Chapter 3 Axioms, Postulates and Theorems Ex 3.1 Question 1. …<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/4714"}],"collection":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/comments?post=4714"}],"version-history":[{"count":0,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/4714\/revisions"}],"wp:attachment":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/media?parent=4714"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/categories?post=4714"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/tags?post=4714"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}