BlogNCERTNCERT Solutions For Class 6 Maths Understanding Elementary Shapes Ex 5.8

NCERT Solutions For Class 6 Maths Understanding Elementary Shapes Ex 5.8

NCERT Solutions For Class 6 Maths Understanding Elementary Shapes Ex 5.8

 

Exercise 5.8

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    Question 1.
    Examine whether the following are polygons. If any one among them is not, say why?
    NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes
    Solution:
    (a) The given figure is not closed. Therefore, it is not a polygon.
    (b) The given figure is a polygon.
    (c) The given figure is not a polygon because every polygon is enclosed with line segments.
    (d) The given figure is not a polygon because it is enclosed by an arc and two line segments.

    Question 2.
    Name the polygon.
    NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes
    Make two more examples of each of these.
    Solution:
    (a) A quadrilateral Examples:
    NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes

    (b) A Triangle
    Examples:
    NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes

    (c) A Pantagon
    Examples:
    E:\Prasanthi\new books\Top Graders Class 6 Maths\images\ch 5\5.1\5.2\5.8\NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes

    (d) A Octagon
    Examples:
    NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes

    Question 3.
    Draw a rough sketch of a regular hexagon. Connecting any three of its vertices, draw a triangle. Identify the type of the triangle you have drawn.
    Solution:
    ABCDEF is a rough sketch of a regular hexagon. If we join any three vertices like D, A and B, we get a scalene triangle DAB.
    E:\Prasanthi\new books\Top Graders Class 6 Maths\images\ch 5\5.1\5.2\5.8\NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes
    But if we join the alternate vertices, we get an equilateral triangle EAC.

    Question 4.
    Draw a rough sketch of a regular octagon. (Using squared paper if you wish). Draw a rectangle by joining exactly four of the vertices of the octagon.
    Solution:
    ABCDEFGH is a rough sketch of regular octagon. GHCD is the rectangle formed by joining the four vertices of the given octagon.
    NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes

    Question 5.
    A diagonal is a line segment that joins any two vertices of the polygon and is not a side of the polygon. Draw a rough sketch of a pentagon and draw its diagonals.
    Solution:
    A B C D E is the rough sketch of a pentagon.
    By joining its any two vertices, we get, the following diagonals.
    \(\overline { AD }\) , \(\overline { AC }\) , \(\overline { BE }\) , \(\overline { BD }\) and \(\overline { CE }\)
    NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes

    NCERT-Solutions-For-Class-6-Maths-understanding-Elementary-Shapes-Exercise-5.8-01
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    NCERT-Solutions-For-Class-6-Maths-understanding-Elementary-Shapes-Exercise-5.8-03

     

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