NCERT Solutions Class 6 Maths
Chapter – 5 (Understanding Elementary Shapes)
The NCERT Solutions in English Language for Class 6 Mathematics Chapter – 5 Understanding Elementary Shapes Exercise 5.8 has been provided here to help the students in solving the questions from this exercise.
Chapter 5: Understanding Elementary Shapes
- NCERT Solution Class 6 Maths Exercise – 5.1
- NCERT Solution Class 6 Maths Exercise – 5.2
- NCERT Solution Class 6 Maths Exercise – 5.3
- NCERT Solution Class 6 Maths Exercise – 5.4
- NCERT Solution Class 6 Maths Exercise – 5.5
- NCERT Solution Class 6 Maths Exercise – 5.6
- NCERT Solution Class 6 Maths Exercise – 5.7
- NCERT Solution Class 6 Maths Exercise – 5.9
Exercise – 5.8
1. Examine whether the following are polygons. If any one among them is not, say why?
Solutions:
(a) It is not a closed figure. Hence, it is not a polygon.
(b) It is a polygon made of six sides.
(c) No it is not a polygon because it is not made of line segments.
(d) 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.
Solutions:
We can draw an isosceles triangle by joining three of vertices of a hexagon as shown in below figure
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.
But if we join the alternate vertices, we get an equilateral triangle EAC.
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.
Solution:
The below figure is a regular octagon in which a rectangle is drawn by joining four of the vertices of the octagon.
ABCDEFGH is a rough sketch of regular octagon. GHCD is the rectangle formed by joining the four vertices of the given 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.
Solutions:
From the figure we may find AC, AD, BD, BE and CE are the diagonals.
