Understanding Elementary Shapes, Exercise 5.8

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NCERT Solutions for class 6, Maths chapter 5 has basic learning concepts of various types of polygons. This class 6 maths exercise 5.8 is about knowledge of different types of polygons which can be made by number of line segment. Students can practice these by drawing them on paper. The questions in this exercise named as Understanding Elementary Shapes, Exercise 5.8 are given below.

Understanding Elementary Shapes, Exercise 5.8

Q.1. Examine whether the following are polygons. If any one among them is not, say why?

Ans: (i) It is not a closed figure. Hence, it is not a polygon.

(ii) It is a polygon because it is closed by line segments made up of six sides.

(iii) No, it is not a polygon because it is not made of line segments.

(iv) It is not a polygon as because it is not made only by line segments, it has curved

surface also.

Q.2. Name each polygon.

Make two more examples of each of these.

Ans:(a) It is a closed figure and is made of four line segments. Hence, it is a quadrilateral. Two more examples:

(b) The given figure is a triangle as it is a closed figure with 3 line segments. Two more examples :

(d) The given figure is an octagon as it is a closed figure made of 8 line segments. Two more examples :

Q.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.

Ans: ABCDEF is a regular hexagon and we can draw an isosceles triangle by joining three of vertices ABF of a hexagon as shown in below figure.

Q.4. Draw a rough sketch of a regular octagon. (Use squared paper if you wish). Draw rectangle by joining exactly four of the vertices of the octagon.

Ans: ABCDEFGH is a regular octagon in which a rectangle CDGH is drawn by joining four of the vertices of the octagon.

Q.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.

Ans: ABCDE is the required pentagon and its diagonals are AD, AC, BE and BD.