{"id":9222,"date":"2024-02-19T02:55:54","date_gmt":"2024-02-18T21:25:54","guid":{"rendered":"https:\/\/tsboardsolutions.in\/?p=9222"},"modified":"2024-02-21T17:11:33","modified_gmt":"2024-02-21T11:41:33","slug":"ts-6th-class-maths-solutions-chapter-13-ex-13-1","status":"publish","type":"post","link":"https:\/\/tsboardsolutions.in\/ts-6th-class-maths-solutions-chapter-13-ex-13-1\/","title":{"rendered":"TS 6th Class Maths Solutions Chapter 13 Practical Geometry Ex 13.1"},"content":{"rendered":"

Students can practice Telangana SCERT Class 6 Maths Solutions<\/a>\u00a0Chapter 13 Practical Geometry Ex 13.1 to get the best methods of solving problems.<\/p>\n

TS 6th Class Maths Solutions Chapter 13 Practical Geometry Exercise 13.1<\/h2>\n

Question 1.
\nConstruct a line segment of length 6.9 cm using a ruler and compasses.
\nAnswer:
\n\"TS<\/p>\n

Steps of construction:<\/p>\n

    \n
  1. Draw a line l. Mark a point A on the line l.<\/li>\n
  2. Place the metal pointer of the compasses on the zero mark of the ruler. Open the compasses so that pencil point touches 6.9 cm mark on the ruler.<\/li>\n
  3. Place the pointer on A on the line l and draw an arc to cut the line. Mark the point where the arc cuts the line as B.<\/li>\n
  4. On the line l, we got the line segment AB of required length.<\/li>\n<\/ol>\n

    \"TS<\/p>\n

    Question 2.
    \nConstruct a line segment of length 4.3 cm using the ruler.
    \nAnswer:
    \n\"TS<\/p>\n

    Steps of construction:<\/p>\n

      \n
    1. Place the ruler on paper and hold it firmly. Mark a point with a sharp edged pencil against 0 cm mark of the ruler. Name the point as A.<\/li>\n
    2. Mark another point against 3 small divisions just after the 4 cm mark. Name this point as B.<\/li>\n
    3. Join points A and B along the edge of the ruler.<\/li>\n
    4. AB is the required line segment of length 4.3 cm.<\/li>\n<\/ol>\n

      Question 3.
      \nConstruct a line segment MN of length 6 cm. Mark any point O on it. Measure MO, ON and MN. What do you observe ?
      \nAnswer:
      \n\"TS<\/p>\n

      Steps of construction :<\/p>\n

        \n
      1. Draw a line l. Mark a point M on the line l.<\/li>\n
      2. Place the metal pointer of the compasses on the zero mark of the ruler. Open it to
        \nplace the pencil point upto the 6 cm mark.<\/li>\n
      3. Taking caution that the opening of the compasses has not changed, place the pointer on M and swing an arc to cut \/ at N.<\/li>\n
      4. MN is a line segment of required length.<\/li>\n
      5. Mark any point ‘O\u2019 on MN.<\/li>\n
      6. Measure the length of MO and ON. It is found that MO = 3.8 cm and ON = 2.2 cm MO + ON = 3.8 +2.2 = 6 cm
        \nIt is noticed that \\(\\overline{\\mathrm{MO}}+\\overline{\\mathrm{ON}}\\) = \\(\\overline{\\mathrm{MN}}\\)<\/li>\n<\/ol>\n

        Question 4.
        \nDraw a line segment \\(\\overline{\\mathbf{A B}}\\) of length 12 cm. Mark a point C on the line segment \\(\\overline{\\mathbf{A B}}\\), such that \\(\\overline{\\mathbf{A C}}\\) = 5.6 cm. What should be the length of \\(\\overline{\\mathbf{C B}}\\)? Measure the length of \\(\\overline{\\mathbf{C B}}\\).
        \nAnswer:
        \n\"TS<\/p>\n

        Steps of construction:<\/p>\n

          \n
        1. Draw a line l. Mark a point A on the line l.<\/li>\n
        2. Place the metal pointer of the compasses on the zero mark of the ruler. Open it to place the pencil point upto the 12 cm mark.<\/li>\n
        3. Taking caution that the opening of the compasses has not changed, place the pointer on A and swing an arc to cut \/ at B.<\/li>\n
        4. \\(\\overline{\\mathbf{A B}}\\) is a line segment of required length.<\/li>\n
        5. Similarly mark the point C on l such that \\(\\overline{\\mathbf{A C}}\\) = 5.6 cm.<\/li>\n
        6. The length of \\(\\overline{\\mathbf{C B}}\\) should be 6.4 cm = (12 – 5.6) on measuring, the length of \\(\\overline{\\mathbf{C B}}\\) = 6.4 cm.<\/li>\n<\/ol>\n

          \"TS<\/p>\n

          Question 5.
          \nGiven that AB = 12 cm
          \n\"TS
          \n(i) From the figure measure the lengths of the following line segments.
          \n(a) \\(\\overline{\\mathrm{CD}}\\)
          \n(b) \\(\\overline{\\mathrm{DB}}\\)
          \n(c) \\(\\overline{\\mathrm{EA}}\\)
          \n(d) \\(\\overline{\\mathrm{AD}}\\)
          \nAnswer:
          \n(a) \\(\\overline{\\mathrm{CD}}\\) = 2.8 cm
          \n(b) \\(\\overline{\\mathrm{DB}}\\) = 4.3 cm
          \n(c) \\(\\overline{\\mathrm{EA}}\\) = 17.3 cm
          \n(d) \\(\\overline{\\mathrm{AD}}\\) = 16.3 cm<\/p>\n

          (ii) Verify \\(\\overline{\\mathbf{A E}}-\\overline{\\mathbf{C E}}\\) = \\(\\overline{\\mathbf{A C}}\\)
          \nAnswer:
          \n\\(\\overline{\\mathbf{A E}}-\\overline{\\mathbf{C E}}\\) = 17.3 cm – 3.8 cm = 13.5 cm
          \n\\(\\overline{\\mathrm{BC}}\\) = 1.5 cm
          \n\\(\\overline{\\mathrm{AC}}\\) = \\(\\overline{\\mathbf{A B}}+\\overline{\\mathbf{B C}}\\)
          \n= 12 cm + 1.5 cm
          \n= 13.5 cm
          \n\u2234 \\(\\overline{\\mathrm{AE}}-\\overline{\\mathrm{CE}}\\) = \\(\\overline{\\mathrm{AC}}\\)<\/p>\n

          Question 6.
          \n\\(\\overline{\\mathrm{AB}}\\) = 3.8 cm. Construct \\(\\overline{\\mathrm{MN}}\\) by compasses such that the length of \\(\\overline{\\mathrm{MN}}\\) = 3AB’is thrice that of \\(\\overline{\\mathrm{AB}}\\). Verify this with the help of a ruler.
          \nAnswer:
          \n\"TS<\/p>\n

          Steps of construction:<\/p>\n

            \n
          1. Draw a line l. Mark a point M on it.<\/li>\n
          2. Place the compasses pointer on the zero mark of the ruler.-Open it to place the pencil upto the 3.8 cm mark.<\/li>\n
          3. Taking caution that the opening of the compasses has not changed, place the pointer on M and swing an arc to cut l at A.<\/li>\n
          4. \\(\\overline{\\mathrm{MA}}\\) is a line segment of 3.8 cm.<\/li>\n
          5. Similarly place the pointer on A and swing an arc to cut l at B such that MA = AB.<\/li>\n
          6. Again place the pointer on B and swing an arc to cut l at N such that AB = BN.<\/li>\n
          7. Now \\(\\overline{\\mathrm{MN}}\\) is a line segment of 11.4 cm.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

            Students can practice Telangana SCERT Class 6 Maths Solutions\u00a0Chapter 13 Practical Geometry Ex 13.1 to get the best methods of solving problems. TS 6th Class Maths Solutions Chapter 13 Practical Geometry Exercise 13.1 Question 1. Construct a line segment of length 6.9 cm using a ruler and compasses. Answer: Steps of construction: Draw a line … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/9222"}],"collection":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/comments?post=9222"}],"version-history":[{"count":3,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/9222\/revisions"}],"predecessor-version":[{"id":9253,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/9222\/revisions\/9253"}],"wp:attachment":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/media?parent=9222"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/categories?post=9222"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/tags?post=9222"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}