Triangle, quadrilateral, pentagon, hexagon and octagon are the types of polygons which are explained in exercise 5.8. The solutions PDF are designed by teachers at BYJU’S after conducting vast research on each concept. Students can improve their abilities in solving problems in a shorter duration based on exam pattern. To gain expertise on the concepts, students can refer NCERT Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.8 PDF, which are available here.
Access NCERT Solutions for Class 6 Chapter 5: Understanding Elementary Shapes Exercise 5.8
1. Examine whether the following are polygons. If any one among them is not, say why?
(i) It is not a closed figure. Hence, it is not a polygon.
(ii) It is a polygon made 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 it is not made of line segments.
2. Name each polygon.
Make two more examples of each of these.
(a) It is a closed figure and is made of four line segments. Hence, the given figure is a quadrilateral. Two more examples are
(b) The given figure is a triangle as it is a closed figure with 3 line segments. Two more examples are
(c) The given figure is a pentagon as this closed figure made of 5 line segments. Two more examples are
(d) The given figure is an octagon as it is a closed figure made of 8 line segments. Two more examples are
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.
We can draw an isosceles triangle by joining three of vertices of a hexagon as shown in below figure
4. Draw a rough sketch of a regular octagon. (Use squared paper if you wish). Draw a rectangle by joining exactly four of the vertices of the octagon.
The below figure is a regular octagon in which a rectangle is drawn by joining four of the vertices of the octagon.
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.
From the figure we may find AC, AD, BD, BE and CE are the diagonals